******************************************************************************************** ***** Complete list of all connected edge-transitive graphs on up to 47 vertices ***** ******************************************************************************************** Below is a complete list of all connected edge-transitive graphs on up to 47 vertices. These graphs were found in June & July 2017 by Marston Conder & Gabriel Verret, with the help of the Magma system, and in particular, using its databases of transitive groups of degree up to 47. (Note that any edge-transitive graph that is not vertex-transitive is bipartite, with the two parts being the orbits of its automorphism group on vertices.) The graphs are listed in ascending order, and ascending maximum valency for given order. The j-th edge-transitive graph of order n is labelled as "ETn.j". The notation Bipartite(k,m) indicates that the graph is bipartite, with parts A and B of sizes k and m, and then in each such case, the valencies given are the valencies of vertices of A and B respectively. Every non-bipartite edge-transitive graph is regular. The term "twin-free" (introduced by Kotlov and LovĂˇsz (1996)) means that no two vertices of the graph have exactly the same neighbours. Another term used for this is "worthy". The terms "VT" and "AT" are abbreviations for "vertex-transitive" and "arc-transitive". This file does not include the edges of each graph. The edge-sets are given in a separate 3.1Mb file at www.math.auckland.ac.nz/~conder/AllSmallETgraphs-upto47-full.txt. Also a list of all all connected edge-transitive bipartite graphs on up to 63 vertices is given at www.math.auckland.ac.nz/~conder/AllSmallETBgraphs-upto63-summary.txt, with the edges given at www.math.auckland.ac.nz/~conder/AllSmallETBgraphs-upto63-full.txt. Marston Conder 25 May 2019 ******************************************************************************************** Order 1 ET1.1 Non-bipartite Valency 0 Diameter 0 No cycles Twin-free VT AT Automorphism group of order 1 Total number of connected ET graphs of order 1 is 1 ******************************************************************************************** Order 2 ET2.1 Bipartite(1,1) Valencies [1,1] Diameter 1 No cycles Twin-free VT AT Automorphism group of order 2 Total number of connected ET graphs of order 2 is 1 ******************************************************************************************** Order 3 ET3.1 Bipartite(1,2) Valencies [2,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 2 ET3.2 Non-bipartite Valency 2 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 6 Total number of connected ET graphs of order 3 is 2 ******************************************************************************************** Order 4 ET4.1 Bipartite(2,2) Valencies [2,2] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 8 ET4.2 Bipartite(1,3) Valencies [3,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 6 ET4.3 Non-bipartite Valency 3 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 24 Total number of connected ET graphs of order 4 is 3 ******************************************************************************************** Order 5 ET5.1 Non-bipartite Valency 2 Diameter 2 Girth 5 Twin-free VT AT Automorphism group of order 10 ET5.2 Bipartite(2,3) Valencies [3,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12 ET5.3 Bipartite(1,4) Valencies [4,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 24 ET5.4 Non-bipartite Valency 4 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 120 Total number of connected ET graphs of order 5 is 4 ******************************************************************************************** Order 6 ET6.1 Bipartite(3,3) Valencies [2,2] Diameter 3 Girth 6 Twin-free VT AT Automorphism group of order 12 ET6.2 Bipartite(3,3) Valencies [3,3] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 72 ET6.3 Bipartite(2,4) Valencies [4,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 48 ET6.4 Non-bipartite Valency 4 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 48 ET6.5 Bipartite(1,5) Valencies [5,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 120 ET6.6 Non-bipartite Valency 5 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 720 Total number of connected ET graphs of order 6 is 6 ******************************************************************************************** Order 7 ET7.1 Non-bipartite Valency 2 Diameter 3 Girth 7 Twin-free VT AT Automorphism group of order 14 ET7.2 Bipartite(3,4) Valencies [4,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 144 ET7.3 Bipartite(2,5) Valencies [5,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 240 ET7.4 Bipartite(1,6) Valencies [6,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 720 ET7.5 Non-bipartite Valency 6 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 5040 Total number of connected ET graphs of order 7 is 5 ******************************************************************************************** Order 8 ET8.1 Bipartite(4,4) Valencies [2,2] Diameter 4 Girth 8 Twin-free VT AT Automorphism group of order 16 ET8.2 Bipartite(4,4) Valencies [3,3] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 48 ET8.3 Bipartite(4,4) Valencies [4,4] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 1152 ET8.4 Bipartite(3,5) Valencies [5,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 720 ET8.5 Bipartite(2,6) Valencies [6,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1440 ET8.6 Non-bipartite Valency 6 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 384 ET8.7 Bipartite(1,7) Valencies [7,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 5040 ET8.8 Non-bipartite Valency 7 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 40320 Total number of connected ET graphs of order 8 is 8 ******************************************************************************************** Order 9 ET9.1 Non-bipartite Valency 2 Diameter 4 Girth 9 Twin-free VT AT Automorphism group of order 18 ET9.2 Bipartite(3,6) Valencies [4,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 48 ET9.3 Non-bipartite Valency 4 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 72 ET9.4 Bipartite(4,5) Valencies [5,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2880 ET9.5 Bipartite(3,6) Valencies [6,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4320 ET9.6 Non-bipartite Valency 6 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1296 ET9.7 Bipartite(2,7) Valencies [7,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10080 ET9.8 Bipartite(1,8) Valencies [8,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 40320 ET9.9 Non-bipartite Valency 8 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 362880 Total number of connected ET graphs of order 9 is 9 ******************************************************************************************** Order 10 ET10.1 Bipartite(5,5) Valencies [2,2] Diameter 5 Girth 10 Twin-free VT AT Automorphism group of order 20 ET10.2 Bipartite(4,6) Valencies [3,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 24 ET10.3 Non-bipartite Valency 3 Diameter 2 Girth 5 Twin-free VT AT Automorphism group of order 120 ET10.4 Bipartite(5,5) Valencies [4,4] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 240 ET10.5 Non-bipartite Valency 4 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 320 ET10.6 Bipartite(5,5) Valencies [5,5] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 28800 ET10.7 Bipartite(4,6) Valencies [6,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17280 ET10.8 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 120 ET10.9 Bipartite(3,7) Valencies [7,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 30240 ET10.10 Bipartite(2,8) Valencies [8,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 80640 ET10.11 Non-bipartite Valency 8 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 3840 ET10.12 Bipartite(1,9) Valencies [9,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 362880 ET10.13 Non-bipartite Valency 9 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 3628800 Total number of connected ET graphs of order 10 is 13 ******************************************************************************************** Order 11 ET11.1 Non-bipartite Valency 2 Diameter 5 Girth 11 Twin-free VT AT Automorphism group of order 22 ET11.2 Bipartite(5,6) Valencies [6,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 86400 ET11.3 Bipartite(4,7) Valencies [7,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 120960 ET11.4 Bipartite(3,8) Valencies [8,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 241920 ET11.5 Bipartite(2,9) Valencies [9,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 725760 ET11.6 Bipartite(1,10) Valencies [10,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 3628800 ET11.7 Non-bipartite Valency 10 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 39916800 Total number of connected ET graphs of order 11 is 7 ******************************************************************************************** Order 12 ET12.1 Bipartite(6,6) Valencies [2,2] Diameter 6 Girth 12 Twin-free VT AT Automorphism group of order 24 ET12.2 Bipartite(4,8) Valencies [4,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 128 ET12.3 Bipartite(6,6) Valencies [4,4] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 768 ET12.4 Non-bipartite Valency 4 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 48 ET12.5 Bipartite(6,6) Valencies [5,5] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1440 ET12.6 Non-bipartite Valency 5 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 120 ET12.7 Bipartite(3,9) Valencies [6,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1296 ET12.8 Bipartite(4,8) Valencies [6,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 384 ET12.9 Bipartite(6,6) Valencies [6,6] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 1036800 ET12.10 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 144 ET12.11 Bipartite(5,7) Valencies [7,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 604800 ET12.12 Bipartite(4,8) Valencies [8,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 967680 ET12.13 Non-bipartite Valency 8 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 82944 ET12.14 Bipartite(3,9) Valencies [9,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2177280 ET12.15 Non-bipartite Valency 9 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 31104 ET12.16 Bipartite(2,10) Valencies [10,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7257600 ET12.17 Non-bipartite Valency 10 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 46080 ET12.18 Bipartite(1,11) Valencies [11,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 39916800 ET12.19 Non-bipartite Valency 11 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 479001600 Total number of connected ET graphs of order 12 is 19 ******************************************************************************************** Order 13 ET13.1 Non-bipartite Valency 2 Diameter 6 Girth 13 Twin-free VT AT Automorphism group of order 26 ET13.2 Non-bipartite Valency 4 Diameter 2 Girth 4 Twin-free VT AT Automorphism group of order 52 ET13.3 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 78 ET13.4 Bipartite(6,7) Valencies [7,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3628800 ET13.5 Bipartite(5,8) Valencies [8,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4838400 ET13.6 Bipartite(4,9) Valencies [9,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8709120 ET13.7 Bipartite(3,10) Valencies [10,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21772800 ET13.8 Bipartite(2,11) Valencies [11,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 79833600 ET13.9 Bipartite(1,12) Valencies [12,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 479001600 ET13.10 Non-bipartite Valency 12 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 6227020800 Total number of connected ET graphs of order 13 is 10 ******************************************************************************************** Order 14 ET14.1 Bipartite(7,7) Valencies [2,2] Diameter 7 Girth 14 Twin-free VT AT Automorphism group of order 28 ET14.2 Bipartite(7,7) Valencies [3,3] Diameter 3 Girth 6 Twin-free VT AT Automorphism group of order 336 ET14.3 Bipartite(6,8) Valencies [4,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 48 ET14.4 Bipartite(6,8) Valencies [4,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 384 ET14.5 Bipartite(7,7) Valencies [4,4] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 336 ET14.6 Non-bipartite Valency 4 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 1792 ET14.7 Bipartite(7,7) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 10080 ET14.8 Bipartite(7,7) Valencies [7,7] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 50803200 ET14.9 Bipartite(6,8) Valencies [8,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29030400 ET14.10 Bipartite(5,9) Valencies [9,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 43545600 ET14.11 Bipartite(4,10) Valencies [10,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 87091200 ET14.12 Bipartite(3,11) Valencies [11,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 239500800 ET14.13 Bipartite(2,12) Valencies [12,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 958003200 ET14.14 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 645120 ET14.15 Bipartite(1,13) Valencies [13,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 6227020800 ET14.16 Non-bipartite Valency 13 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 87178291200 Total number of connected ET graphs of order 14 is 16 ******************************************************************************************** Order 15 ET15.1 Non-bipartite Valency 2 Diameter 7 Girth 15 Twin-free VT AT Automorphism group of order 30 ET15.2 Bipartite(6,9) Valencies [3,2] Diameter 4 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 72 ET15.3 Bipartite(5,10) Valencies [4,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 120 ET15.4 Bipartite(5,10) Valencies [4,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 320 ET15.5 Non-bipartite Valency 4 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 60 ET15.6 Non-bipartite Valency 4 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 120 ET15.7 Bipartite(5,10) Valencies [6,3] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET15.8 Bipartite(6,9) Valencies [6,4] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 72 ET15.9 Bipartite(6,9) Valencies [6,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10368 ET15.10 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 720 ET15.11 Non-bipartite Valency 6 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 77760 ET15.12 Bipartite(3,12) Valencies [8,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82944 ET15.13 Bipartite(5,10) Valencies [8,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3840 ET15.14 Bipartite(7,8) Valencies [8,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 203212800 ET15.15 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 720 ET15.16 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 720 ET15.17 Bipartite(6,9) Valencies [9,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 261273600 ET15.18 Bipartite(5,10) Valencies [10,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 435456000 ET15.19 Non-bipartite Valency 10 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 10368000 ET15.20 Bipartite(4,11) Valencies [11,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 958003200 ET15.21 Bipartite(3,12) Valencies [12,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2874009600 ET15.22 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 933120 ET15.23 Bipartite(2,13) Valencies [13,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12454041600 ET15.24 Bipartite(1,14) Valencies [14,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 87178291200 ET15.25 Non-bipartite Valency 14 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 1307674368000 Total number of connected ET graphs of order 15 is 25 ******************************************************************************************** Order 16 ET16.1 Bipartite(8,8) Valencies [2,2] Diameter 8 Girth 16 Twin-free VT AT Automorphism group of order 32 ET16.2 Bipartite(8,8) Valencies [3,3] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 96 ET16.3 Bipartite(8,8) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 384 ET16.4 Bipartite(8,8) Valencies [4,4] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 4096 ET16.5 Bipartite(6,10) Valencies [5,3] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 60 ET16.6 Non-bipartite Valency 5 Diameter 2 Girth 4 Twin-free VT AT Automorphism group of order 1920 ET16.7 Bipartite(4,12) Valencies [6,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10368 ET16.8 Bipartite(4,12) Valencies [6,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1536 ET16.9 Bipartite(8,8) Valencies [6,6] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 12288 ET16.10 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 192 ET16.11 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1152 ET16.12 Bipartite(8,8) Valencies [7,7] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 80640 ET16.13 Bipartite(8,8) Valencies [8,8] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 3251404800 ET16.14 Bipartite(4,12) Valencies [9,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31104 ET16.15 Bipartite(7,9) Valencies [9,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1828915200 ET16.16 Non-bipartite Valency 9 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1152 ET16.17 Bipartite(6,10) Valencies [10,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2612736000 ET16.18 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1920 ET16.19 Bipartite(5,11) Valencies [11,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4790016000 ET16.20 Bipartite(4,12) Valencies [12,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11496038400 ET16.21 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 7962624 ET16.22 Bipartite(3,13) Valencies [13,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37362124800 ET16.23 Bipartite(2,14) Valencies [14,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 174356582400 ET16.24 Non-bipartite Valency 14 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 10321920 ET16.25 Bipartite(1,15) Valencies [15,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 1307674368000 ET16.26 Non-bipartite Valency 15 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 20922789888000 Total number of connected ET graphs of order 16 is 26 ******************************************************************************************** Order 17 ET17.1 Non-bipartite Valency 2 Diameter 8 Girth 17 Twin-free VT AT Automorphism group of order 34 ET17.2 Non-bipartite Valency 4 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 68 ET17.3 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 136 ET17.4 Bipartite(8,9) Valencies [9,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14631321600 ET17.5 Bipartite(7,10) Valencies [10,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 18289152000 ET17.6 Bipartite(6,11) Valencies [11,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 28740096000 ET17.7 Bipartite(5,12) Valencies [12,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 57480192000 ET17.8 Bipartite(4,13) Valencies [13,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 149448499200 ET17.9 Bipartite(3,14) Valencies [14,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 523069747200 ET17.10 Bipartite(2,15) Valencies [15,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2615348736000 ET17.11 Bipartite(1,16) Valencies [16,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 20922789888000 ET17.12 Non-bipartite Valency 16 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 355687428096000 Total number of connected ET graphs of order 17 is 12 ******************************************************************************************** Order 18 ET18.1 Bipartite(9,9) Valencies [2,2] Diameter 9 Girth 18 Twin-free VT AT Automorphism group of order 36 ET18.2 Bipartite(9,9) Valencies [3,3] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 216 ET18.3 Bipartite(6,12) Valencies [4,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 48 ET18.4 Bipartite(6,12) Valencies [4,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 768 ET18.5 Bipartite(9,9) Valencies [4,4] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 144 ET18.6 Non-bipartite Valency 4 Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 9216 ET18.7 Bipartite(6,12) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31104 ET18.8 Bipartite(9,9) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 216 ET18.9 Bipartite(9,9) Valencies [6,6] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 559872 ET18.10 Bipartite(6,12) Valencies [8,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 663552 ET18.11 Bipartite(9,9) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 725760 ET18.12 Non-bipartite Valency 8 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 36864 ET18.13 Bipartite(9,9) Valencies [9,9] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 263363788800 ET18.14 Bipartite(3,15) Valencies [10,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10368000 ET18.15 Bipartite(6,12) Valencies [10,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46080 ET18.16 Bipartite(8,10) Valencies [10,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 146313216000 ET18.17 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 4320 ET18.18 Bipartite(7,11) Valencies [11,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 201180672000 ET18.19 Bipartite(6,12) Valencies [12,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 344881152000 ET18.20 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 2239488000 ET18.21 Bipartite(5,13) Valencies [13,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 747242496000 ET18.22 Bipartite(4,14) Valencies [14,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2092278988800 ET18.23 Bipartite(3,15) Valencies [15,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7846046208000 ET18.24 Non-bipartite Valency 15 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 33592320 ET18.25 Bipartite(2,16) Valencies [16,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 41845579776000 ET18.26 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 185794560 ET18.27 Bipartite(1,17) Valencies [17,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 355687428096000 ET18.28 Non-bipartite Valency 17 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 6402373705728000 Total number of connected ET graphs of order 18 is 28 ******************************************************************************************** Order 19 ET19.1 Non-bipartite Valency 2 Diameter 9 Girth 19 Twin-free VT AT Automorphism group of order 38 ET19.2 Non-bipartite Valency 6 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 114 ET19.3 Bipartite(9,10) Valencies [10,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1316818944000 ET19.4 Bipartite(8,11) Valencies [11,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1609445376000 ET19.5 Bipartite(7,12) Valencies [12,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2414168064000 ET19.6 Bipartite(6,13) Valencies [13,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4483454976000 ET19.7 Bipartite(5,14) Valencies [14,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10461394944000 ET19.8 Bipartite(4,15) Valencies [15,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31384184832000 ET19.9 Bipartite(3,16) Valencies [16,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 125536739328000 ET19.10 Bipartite(2,17) Valencies [17,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 711374856192000 ET19.11 Bipartite(1,18) Valencies [18,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 6402373705728000 ET19.12 Non-bipartite Valency 18 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 121645100408832000 Total number of connected ET graphs of order 19 is 12 ******************************************************************************************** Order 20 ET20.1 Bipartite(10,10) Valencies [2,2] Diameter 10 Girth 20 Twin-free VT AT Automorphism group of order 40 ET20.2 Bipartite(8,12) Valencies [3,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 48 ET20.3 Bipartite(10,10) Valencies [3,3] Diameter 5 Girth 6 Twin-free VT AT Automorphism group of order 240 ET20.4 Non-bipartite Valency 3 Diameter 5 Girth 5 Twin-free VT AT Automorphism group of order 120 ET20.5 Bipartite(10,10) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 80 ET20.6 Bipartite(10,10) Valencies [4,4] Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 20480 ET20.7 Bipartite(10,10) Valencies [4,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3840 ET20.8 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 320 ET20.9 Bipartite(5,15) Valencies [6,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 77760 ET20.10 Bipartite(8,12) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET20.11 Bipartite(8,12) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 165888 ET20.12 Bipartite(8,12) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 24576 ET20.13 Bipartite(8,12) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3072 ET20.14 Bipartite(10,10) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 240 ET20.15 Bipartite(10,10) Valencies [6,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3840 ET20.16 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 240 ET20.17 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 240 ET20.18 Non-bipartite Valency 6 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 122880 ET20.19 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 240 ET20.20 Bipartite(4,16) Valencies [8,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2654208 ET20.21 Bipartite(10,10) Valencies [8,8] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 245760 ET20.22 Non-bipartite Valency 8 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 79626240 ET20.23 Bipartite(8,12) Valencies [9,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 497664 ET20.24 Bipartite(10,10) Valencies [9,9] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 7257600 ET20.25 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET20.26 Bipartite(10,10) Valencies [10,10] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 26336378880000 ET20.27 Bipartite(9,11) Valencies [11,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14485008384000 ET20.28 Bipartite(4,16) Valencies [12,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7962624 ET20.29 Bipartite(5,15) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 933120 ET20.30 Bipartite(8,12) Valencies [12,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 19313344512000 ET20.31 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 2880 ET20.32 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 122880 ET20.33 Bipartite(7,13) Valencies [13,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31384184832000 ET20.34 Bipartite(6,14) Valencies [14,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 62768369664000 ET20.35 Bipartite(5,15) Valencies [15,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 156920924160000 ET20.36 Non-bipartite Valency 15 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 4976640000 ET20.37 Bipartite(4,16) Valencies [16,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 502146957312000 ET20.38 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 955514880 ET20.39 Bipartite(3,17) Valencies [17,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2134124568576000 ET20.40 Bipartite(2,18) Valencies [18,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12804747411456000 ET20.41 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 3715891200 ET20.42 Bipartite(1,19) Valencies [19,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 121645100408832000 ET20.43 Non-bipartite Valency 19 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 2432902008176640000 Total number of connected ET graphs of order 20 is 43 ******************************************************************************************** Order 21 ET21.1 Non-bipartite Valency 2 Diameter 10 Girth 21 Twin-free VT AT Automorphism group of order 42 ET21.2 Bipartite(7,14) Valencies [4,2] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1792 ET21.3 Bipartite(9,12) Valencies [4,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 432 ET21.4 Bipartite(9,12) Valencies [4,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4608 ET21.5 Non-bipartite Valency 4 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 84 ET21.6 Non-bipartite Valency 4 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET21.7 Bipartite(6,15) Valencies [5,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 720 ET21.8 Bipartite(7,14) Valencies [6,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 42 ET21.9 Bipartite(7,14) Valencies [6,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21504 ET21.10 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 126 ET21.11 Non-bipartite Valency 6 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 3919104 ET21.12 Bipartite(7,14) Valencies [8,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21504 ET21.13 Bipartite(9,12) Valencies [8,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 432 ET21.14 Bipartite(9,12) Valencies [8,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17915904 ET21.15 Bipartite(9,12) Valencies [8,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4608 ET21.16 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 336 ET21.17 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 336 ET21.18 Bipartite(6,15) Valencies [10,4] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET21.19 Bipartite(6,15) Valencies [10,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82944000 ET21.20 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 5040 ET21.21 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 5040 ET21.22 Bipartite(10,11) Valencies [11,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 144850083840000 ET21.23 Bipartite(3,18) Valencies [12,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2239488000 ET21.24 Bipartite(7,14) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 645120 ET21.25 Bipartite(9,12) Valencies [12,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 173820100608000 ET21.26 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 30240 ET21.27 Bipartite(8,13) Valencies [13,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 251073478656000 ET21.28 Bipartite(7,14) Valencies [14,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 439378587648000 ET21.29 Non-bipartite Valency 14 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 768144384000 ET21.30 Bipartite(6,15) Valencies [15,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 941525544960000 ET21.31 Bipartite(5,16) Valencies [16,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2510734786560000 ET21.32 Bipartite(4,17) Valencies [17,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8536498274304000 ET21.33 Bipartite(3,18) Valencies [18,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 38414242234368000 ET21.34 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1410877440 ET21.35 Bipartite(2,19) Valencies [19,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 243290200817664000 ET21.36 Bipartite(1,20) Valencies [20,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 2432902008176640000 ET21.37 Non-bipartite Valency 20 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 51090942171709440000 Total number of connected ET graphs of order 21 is 37 ******************************************************************************************** Order 22 ET22.1 Bipartite(11,11) Valencies [2,2] Diameter 11 Girth 22 Twin-free VT AT Automorphism group of order 44 ET22.2 Non-bipartite Valency 4 Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 45056 ET22.3 Bipartite(11,11) Valencies [5,5] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1320 ET22.4 Bipartite(10,12) Valencies [6,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET22.5 Bipartite(10,12) Valencies [6,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3840 ET22.6 Bipartite(11,11) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1320 ET22.7 Bipartite(8,14) Valencies [7,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1344 ET22.8 Bipartite(6,16) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7962624 ET22.9 Bipartite(6,16) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12288 ET22.10 Bipartite(4,18) Valencies [9,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1119744 ET22.11 Bipartite(11,11) Valencies [10,10] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 79833600 ET22.12 Bipartite(11,11) Valencies [11,11] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 3186701844480000 ET22.13 Bipartite(10,12) Valencies [12,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1738201006080000 ET22.14 Bipartite(9,13) Valencies [13,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2259661307904000 ET22.15 Bipartite(8,14) Valencies [14,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3515028701184000 ET22.16 Bipartite(7,15) Valencies [15,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6590678814720000 ET22.17 Bipartite(6,16) Valencies [16,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15064408719360000 ET22.18 Bipartite(5,17) Valencies [17,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 42682491371520000 ET22.19 Bipartite(4,18) Valencies [18,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 153656968937472000 ET22.20 Bipartite(3,19) Valencies [19,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 729870602452992000 ET22.21 Bipartite(2,20) Valencies [20,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4865804016353280000 ET22.22 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 81749606400 ET22.23 Bipartite(1,21) Valencies [21,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 51090942171709440000 ET22.24 Non-bipartite Valency 21 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 1124000727777607680000 Total number of connected ET graphs of order 22 is 24 ******************************************************************************************** Order 23 ET23.1 Non-bipartite Valency 2 Diameter 11 Girth 23 Twin-free VT AT Automorphism group of order 46 ET23.2 Bipartite(11,12) Valencies [12,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 19120211066880000 ET23.3 Bipartite(10,13) Valencies [13,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 22596613079040000 ET23.4 Bipartite(9,14) Valencies [14,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31635258310656000 ET23.5 Bipartite(8,15) Valencies [15,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 52725430517760000 ET23.6 Bipartite(7,16) Valencies [16,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 105450861035520000 ET23.7 Bipartite(6,17) Valencies [17,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 256094948229120000 ET23.8 Bipartite(5,18) Valencies [18,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 768284844687360000 ET23.9 Bipartite(4,19) Valencies [19,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2919482409811968000 ET23.10 Bipartite(3,20) Valencies [20,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14597412049059840000 ET23.11 Bipartite(2,21) Valencies [21,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 102181884343418880000 ET23.12 Bipartite(1,22) Valencies [22,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 1124000727777607680000 ET23.13 Non-bipartite Valency 22 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 25852016738884976640000 Total number of connected ET graphs of order 23 is 13 ******************************************************************************************** Order 24 ET24.1 Bipartite(12,12) Valencies [2,2] Diameter 12 Girth 24 Twin-free VT AT Automorphism group of order 48 ET24.2 Bipartite(12,12) Valencies [3,3] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 144 ET24.3 Bipartite(8,16) Valencies [4,2] Diameter 4 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET24.4 Bipartite(8,16) Valencies [4,2] Diameter 8 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4096 ET24.5 Bipartite(12,12) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 768 ET24.6 Bipartite(12,12) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 96 ET24.7 Bipartite(12,12) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 96 ET24.8 Bipartite(12,12) Valencies [4,4] Diameter 6 Girth 4 Has twins VT AT Automorphism group of order 98304 ET24.9 Bipartite(12,12) Valencies [4,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3072 ET24.10 Non-bipartite Valency 4 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 96 ET24.11 Non-bipartite Valency 4 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 96 ET24.12 Bipartite(12,12) Valencies [5,5] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 480 ET24.13 Bipartite(6,18) Valencies [6,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 559872 ET24.14 Bipartite(6,18) Valencies [6,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36864 ET24.15 Bipartite(8,16) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12288 ET24.16 Bipartite(12,12) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 288 ET24.17 Bipartite(12,12) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1152 ET24.18 Bipartite(12,12) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1152 ET24.19 Bipartite(12,12) Valencies [6,6] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 26873856 ET24.20 Bipartite(12,12) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1990656 ET24.21 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 144 ET24.22 Non-bipartite Valency 7 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET24.23 Bipartite(8,16) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 384 ET24.24 Bipartite(8,16) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 42467328 ET24.25 Bipartite(8,16) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49152 ET24.26 Bipartite(12,12) Valencies [8,8] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 2293235712 ET24.27 Non-bipartite Valency 8 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 196608 ET24.28 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1152 ET24.29 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1152 ET24.30 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 384 ET24.31 Bipartite(12,12) Valencies [9,9] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 80621568 ET24.32 Bipartite(4,20) Valencies [10,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1658880000 ET24.33 Bipartite(9,15) Valencies [10,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2239488000 ET24.34 Bipartite(12,12) Valencies [10,10] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5898240 ET24.35 Non-bipartite Valency 10 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 491520 ET24.36 Bipartite(12,12) Valencies [11,11] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 958003200 ET24.37 Bipartite(6,18) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17915904000 ET24.38 Bipartite(6,18) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36864 ET24.39 Bipartite(8,16) Valencies [12,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET24.40 Bipartite(8,16) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 127401984 ET24.41 Bipartite(12,12) Valencies [12,12] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 458885065605120000 ET24.42 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 589824 ET24.43 Bipartite(11,13) Valencies [13,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 248562743869440000 ET24.44 Bipartite(3,21) Valencies [14,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 768144384000 ET24.45 Bipartite(8,16) Valencies [14,7] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10321920 ET24.46 Bipartite(10,14) Valencies [14,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 316352583106560000 ET24.47 Non-bipartite Valency 14 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 241920 ET24.48 Bipartite(4,20) Valencies [15,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4976640000 ET24.49 Bipartite(6,18) Valencies [15,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33592320 ET24.50 Bipartite(9,15) Valencies [15,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 474528874659840000 ET24.51 Non-bipartite Valency 15 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 17280 ET24.52 Bipartite(8,16) Valencies [16,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 843606888284160000 ET24.53 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 393289924608000 ET24.54 Bipartite(7,17) Valencies [17,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1792664637603840000 ET24.55 Bipartite(6,18) Valencies [18,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4609709068124160000 ET24.56 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 6449725440000 ET24.57 Bipartite(5,19) Valencies [19,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14597412049059840000 ET24.58 Bipartite(4,20) Valencies [20,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 58389648196239360000 ET24.59 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 137594142720 ET24.60 Bipartite(3,21) Valencies [21,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 306545653030256640000 ET24.61 Non-bipartite Valency 21 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 67722117120 ET24.62 Bipartite(2,22) Valencies [22,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2248001455555215360000 ET24.63 Non-bipartite Valency 22 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1961990553600 ET24.64 Bipartite(1,23) Valencies [23,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 25852016738884976640000 ET24.65 Non-bipartite Valency 23 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 620448401733239439360000 Total number of connected ET graphs of order 24 is 65 ******************************************************************************************** Order 25 ET25.1 Non-bipartite Valency 2 Diameter 12 Girth 25 Twin-free VT AT Automorphism group of order 50 ET25.2 Bipartite(10,15) Valencies [3,2] Diameter 6 Girth 10 Twin-free Non-VT Non-AT Automorphism group of order 120 ET25.3 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 200 ET25.4 Non-bipartite Valency 4 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 100 ET25.5 Bipartite(10,15) Valencies [6,4] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET25.6 Bipartite(10,15) Valencies [6,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2488320 ET25.7 Bipartite(10,15) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 933120 ET25.8 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 300 ET25.9 Bipartite(5,20) Valencies [8,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 79626240 ET25.10 Bipartite(5,20) Valencies [8,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET25.11 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1200 ET25.12 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 28800 ET25.13 Bipartite(10,15) Valencies [9,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET25.14 Bipartite(10,15) Valencies [9,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 933120 ET25.15 Non-bipartite Valency 10 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 248832000000 ET25.16 Bipartite(5,20) Valencies [12,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET25.17 Bipartite(10,15) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29859840 ET25.18 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 600 ET25.19 Bipartite(12,13) Valencies [13,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2982752926433280000 ET25.20 Bipartite(11,14) Valencies [14,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3479878414172160000 ET25.21 Bipartite(10,15) Valencies [15,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4745288746598400000 ET25.22 Bipartite(5,20) Valencies [16,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 955514880 ET25.23 Bipartite(9,16) Valencies [16,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7592461994557440000 ET25.24 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 28800 ET25.25 Bipartite(8,17) Valencies [17,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14341317100830720000 ET25.26 Bipartite(7,18) Valencies [18,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 32267963476869120000 ET25.27 Bipartite(6,19) Valencies [19,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 87584472294359040000 ET25.28 Bipartite(5,20) Valencies [20,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 291948240981196800000 ET25.29 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 2985984000000 ET25.30 Bipartite(4,21) Valencies [21,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1226182612121026560000 ET25.31 Bipartite(3,22) Valencies [22,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6744004366665646080000 ET25.32 Bipartite(2,23) Valencies [23,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 51704033477769953280000 ET25.33 Bipartite(1,24) Valencies [24,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 620448401733239439360000 ET25.34 Non-bipartite Valency 24 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 15511210043330985984000000 Total number of connected ET graphs of order 25 is 34 ******************************************************************************************** Order 26 ET26.1 Bipartite(13,13) Valencies [2,2] Diameter 13 Girth 26 Twin-free VT AT Automorphism group of order 52 ET26.2 Bipartite(13,13) Valencies [3,3] Diameter 5 Girth 6 Twin-free VT AT Automorphism group of order 78 ET26.3 Bipartite(13,13) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 104 ET26.4 Bipartite(13,13) Valencies [4,4] Diameter 3 Girth 6 Twin-free VT AT Automorphism group of order 11232 ET26.5 Non-bipartite Valency 4 Diameter 6 Girth 4 Has twins VT AT Automorphism group of order 212992 ET26.6 Bipartite(13,13) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 156 ET26.7 Bipartite(10,16) Valencies [8,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1920 ET26.8 Non-bipartite Valency 8 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 425984 ET26.9 Bipartite(8,18) Valencies [9,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17915904 ET26.10 Bipartite(8,18) Valencies [9,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2239488 ET26.11 Bipartite(13,13) Valencies [9,9] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 11232 ET26.12 Bipartite(6,20) Valencies [10,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET26.13 Bipartite(6,20) Valencies [10,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4976640000 ET26.14 Bipartite(6,20) Valencies [10,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 61440 ET26.15 Bipartite(13,13) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 12454041600 ET26.16 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 638976 ET26.17 Bipartite(13,13) Valencies [13,13] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 77551576087265280000 ET26.18 Bipartite(12,14) Valencies [14,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 41758540970065920000 ET26.19 Bipartite(11,15) Valencies [15,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 52198176212582400000 ET26.20 Bipartite(10,16) Valencies [16,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 75924619945574400000 ET26.21 Bipartite(9,17) Valencies [17,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 129071853907476480000 ET26.22 Bipartite(8,18) Valencies [18,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 258143707814952960000 ET26.23 Bipartite(7,19) Valencies [19,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 613091306060513280000 ET26.24 Bipartite(6,20) Valencies [20,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1751689445887180800000 ET26.25 Bipartite(5,21) Valencies [21,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6130913060605132800000 ET26.26 Bipartite(4,22) Valencies [22,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 26976017466662584320000 ET26.27 Bipartite(3,23) Valencies [23,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 155112100433309859840000 ET26.28 Bipartite(2,24) Valencies [24,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1240896803466478878720000 ET26.29 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 51011754393600 ET26.30 Bipartite(1,25) Valencies [25,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 15511210043330985984000000 ET26.31 Non-bipartite Valency 25 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 403291461126605635584000000 Total number of connected ET graphs of order 26 is 31 ******************************************************************************************** Order 27 ET27.1 Non-bipartite Valency 2 Diameter 13 Girth 27 Twin-free VT AT Automorphism group of order 54 ET27.2 Bipartite(9,18) Valencies [4,2] Diameter 6 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 72 ET27.3 Bipartite(9,18) Valencies [4,2] Diameter 9 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9216 ET27.4 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 108 ET27.5 Non-bipartite Valency 4 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 216 ET27.6 Non-bipartite Valency 4 Diameter 3 Girth 5 Twin-free VT Non-AT Automorphism group of order 54 ET27.7 Bipartite(12,15) Valencies [5,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET27.8 Bipartite(12,15) Valencies [5,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46080 ET27.9 Bipartite(9,18) Valencies [6,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 108 ET27.10 Bipartite(9,18) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3359232 ET27.11 Bipartite(9,18) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 55296 ET27.12 Non-bipartite Valency 6 Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 181398528 ET27.13 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 324 ET27.14 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.15 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 324 ET27.16 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.17 Bipartite(9,18) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET27.18 Bipartite(9,18) Valencies [8,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36864 ET27.19 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 216 ET27.20 Non-bipartite Valency 8 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.21 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.22 Bipartite(12,15) Valencies [10,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 143327232000 ET27.23 Bipartite(12,15) Valencies [10,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46080 ET27.24 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET27.25 Bipartite(9,18) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 483729408000 ET27.26 Bipartite(9,18) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3359232 ET27.27 Bipartite(9,18) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 55296 ET27.28 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 725594112 ET27.29 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.30 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET27.31 Bipartite(6,21) Valencies [14,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6145155072000 ET27.32 Bipartite(13,14) Valencies [14,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 542861032610856960000 ET27.33 Bipartite(12,15) Valencies [15,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 626378114550988800000 ET27.34 Bipartite(3,24) Valencies [16,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 393289924608000 ET27.35 Bipartite(9,18) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 185794560 ET27.36 Bipartite(11,16) Valencies [16,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 835170819401318400000 ET27.37 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET27.38 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 2177280 ET27.39 Bipartite(10,17) Valencies [17,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1290718539074764800000 ET27.40 Bipartite(9,18) Valencies [18,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2323293370334576640000 ET27.41 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 286708355039232000 ET27.42 Bipartite(8,19) Valencies [19,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4904730448484106240000 ET27.43 Bipartite(7,20) Valencies [20,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12261826121210265600000 ET27.44 Bipartite(6,21) Valencies [21,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36785478363630796800000 ET27.45 Bipartite(5,22) Valencies [22,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 134880087333312921600000 ET27.46 Bipartite(4,23) Valencies [23,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 620448401733239439360000 ET27.47 Bipartite(3,24) Valencies [24,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3722690410399436636160000 ET27.48 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 3656994324480 ET27.49 Bipartite(2,25) Valencies [25,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31022420086661971968000000 ET27.50 Bipartite(1,26) Valencies [26,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 403291461126605635584000000 ET27.51 Non-bipartite Valency 26 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 10888869450418352160768000000 Total number of connected ET graphs of order 27 is 51 ******************************************************************************************** Order 28 ET28.1 Bipartite(14,14) Valencies [2,2] Diameter 14 Girth 28 Twin-free VT AT Automorphism group of order 56 ET28.2 Non-bipartite Valency 3 Diameter 4 Girth 7 Twin-free VT AT Automorphism group of order 336 ET28.3 Bipartite(12,16) Valencies [4,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 576 ET28.4 Bipartite(12,16) Valencies [4,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 192 ET28.5 Bipartite(12,16) Valencies [4,3] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12288 ET28.6 Bipartite(14,14) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 672 ET28.7 Bipartite(14,14) Valencies [4,4] Diameter 7 Girth 4 Has twins VT AT Automorphism group of order 458752 ET28.8 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 1792 ET28.9 Bipartite(7,21) Valencies [6,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 5040 ET28.10 Bipartite(7,21) Valencies [6,2] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3919104 ET28.11 Bipartite(14,14) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 168 ET28.12 Bipartite(14,14) Valencies [6,6] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5505024 ET28.13 Bipartite(14,14) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5376 ET28.14 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 168 ET28.15 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 336 ET28.16 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET28.17 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET28.18 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 768 ET28.19 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET28.20 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET28.21 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3439853568 ET28.22 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 509607936 ET28.23 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 786432 ET28.24 Bipartite(12,16) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49152 ET28.25 Bipartite(14,14) Valencies [8,8] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5505024 ET28.26 Non-bipartite Valency 8 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 64210599936 ET28.27 Bipartite(7,21) Valencies [9,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 47029248 ET28.28 Bipartite(10,18) Valencies [9,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2799360 ET28.29 Non-bipartite Valency 9 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 504 ET28.30 Bipartite(8,20) Valencies [10,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 26542080000 ET28.31 Bipartite(4,24) Valencies [12,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480000 ET28.32 Bipartite(4,24) Valencies [12,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4586471424 ET28.33 Bipartite(7,21) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 47029248 ET28.34 Bipartite(12,16) Valencies [12,9] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 576 ET28.35 Bipartite(12,16) Valencies [12,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10319560704 ET28.36 Bipartite(14,14) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 165150720 ET28.37 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 40320 ET28.38 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1344 ET28.39 Bipartite(14,14) Valencies [13,13] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 174356582400 ET28.40 Non-bipartite Valency 13 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 2184 ET28.41 Bipartite(14,14) Valencies [14,14] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 15200108913103994880000 ET28.42 Bipartite(7,21) Valencies [15,5] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 5040 ET28.43 Bipartite(8,20) Valencies [15,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 79626240000 ET28.44 Bipartite(13,15) Valencies [15,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8142915489162854400000 ET28.45 Non-bipartite Valency 15 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 40320 ET28.46 Bipartite(12,16) Valencies [16,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10022049832815820800000 ET28.47 Bipartite(11,17) Valencies [17,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14197903929822412800000 ET28.48 Bipartite(4,24) Valencies [18,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6449725440000 ET28.49 Bipartite(7,21) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1410877440 ET28.50 Bipartite(10,18) Valencies [18,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23232933703345766400000 ET28.51 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 120960 ET28.52 Bipartite(9,19) Valencies [19,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 44142574036356956160000 ET28.53 Bipartite(8,20) Valencies [20,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98094608969682124800000 ET28.54 Bipartite(7,21) Valencies [21,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 257498348545415577600000 ET28.55 Non-bipartite Valency 21 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 15485790781440000 ET28.56 Bipartite(6,22) Valencies [22,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 809280523999877529600000 ET28.57 Bipartite(5,23) Valencies [23,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3102242008666197196800000 ET28.58 Bipartite(4,24) Valencies [24,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14890761641597746544640000 ET28.59 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 23115815976960 ET28.60 Bipartite(3,25) Valencies [25,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 93067260259985915904000000 ET28.61 Bipartite(2,26) Valencies [26,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 806582922253211271168000000 ET28.62 Non-bipartite Valency 26 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1428329123020800 ET28.63 Bipartite(1,27) Valencies [27,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 10888869450418352160768000000 ET28.64 Non-bipartite Valency 27 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 304888344611713860501504000000 Total number of connected ET graphs of order 28 is 64 ******************************************************************************************** Order 29 ET29.1 Non-bipartite Valency 2 Diameter 14 Girth 29 Twin-free VT AT Automorphism group of order 58 ET29.2 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 116 ET29.3 Non-bipartite Valency 14 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 406 ET29.4 Bipartite(14,15) Valencies [15,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 114000816848279961600000 ET29.5 Bipartite(13,16) Valencies [16,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 130286647826605670400000 ET29.6 Bipartite(12,17) Valencies [17,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 170374847157868953600000 ET29.7 Bipartite(11,18) Valencies [18,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 255562270736803430400000 ET29.8 Bipartite(10,19) Valencies [19,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 441425740363569561600000 ET29.9 Bipartite(9,20) Valencies [20,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 882851480727139123200000 ET29.10 Bipartite(8,21) Valencies [21,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2059986788363324620800000 ET29.11 Bipartite(7,22) Valencies [22,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5664963667999142707200000 ET29.12 Bipartite(6,23) Valencies [23,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 18613452051997183180800000 ET29.13 Bipartite(5,24) Valencies [24,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 74453808207988732723200000 ET29.14 Bipartite(4,25) Valencies [25,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 372269041039943663616000000 ET29.15 Bipartite(3,26) Valencies [26,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2419748766759633813504000000 ET29.16 Bipartite(2,27) Valencies [27,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21777738900836704321536000000 ET29.17 Bipartite(1,28) Valencies [28,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 304888344611713860501504000000 ET29.18 Non-bipartite Valency 28 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 8841761993739701954543616000000 Total number of connected ET graphs of order 29 is 18 ******************************************************************************************** Order 30 ET30.1 Bipartite(15,15) Valencies [2,2] Diameter 15 Girth 30 Twin-free VT AT Automorphism group of order 60 ET30.2 Bipartite(15,15) Valencies [3,3] Diameter 4 Girth 8 Twin-free VT AT Automorphism group of order 1440 ET30.3 Bipartite(10,20) Valencies [4,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 240 ET30.4 Bipartite(10,20) Valencies [4,2] Diameter 5 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 320 ET30.5 Bipartite(10,20) Valencies [4,2] Diameter 10 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20480 ET30.6 Bipartite(15,15) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 720 ET30.7 Bipartite(15,15) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 120 ET30.8 Non-bipartite Valency 4 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 240 ET30.9 Non-bipartite Valency 4 Diameter 5 Girth 3 Twin-free VT AT Automorphism group of order 120 ET30.10 Non-bipartite Valency 4 Diameter 7 Girth 4 Has twins VT AT Automorphism group of order 983040 ET30.11 Non-bipartite Valency 4 Diameter 5 Girth 3 Twin-free VT AT Automorphism group of order 240 ET30.12 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 120 ET30.13 Non-bipartite Valency 4 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 120 ET30.14 Bipartite(10,20) Valencies [6,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET30.15 Bipartite(10,20) Valencies [6,3] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET30.16 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET30.17 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET30.18 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET30.19 Bipartite(12,18) Valencies [6,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 35831808 ET30.20 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET30.21 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2239488 ET30.22 Bipartite(12,18) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 221184 ET30.23 Bipartite(15,15) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1440 ET30.24 Bipartite(15,15) Valencies [6,6] Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 1209323520 ET30.25 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 720 ET30.26 Bipartite(15,15) Valencies [7,7] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 40320 ET30.27 Bipartite(6,24) Valencies [8,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2293235712 ET30.28 Bipartite(6,24) Valencies [8,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 196608 ET30.29 Bipartite(10,20) Valencies [8,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2548039680 ET30.30 Bipartite(10,20) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 955514880 ET30.31 Bipartite(10,20) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3932160 ET30.32 Bipartite(10,20) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 40960 ET30.33 Bipartite(14,16) Valencies [8,7] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 2688 ET30.34 Bipartite(14,16) Valencies [8,7] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 344064 ET30.35 Bipartite(15,15) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 40320 ET30.36 Bipartite(15,15) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1440 ET30.37 Non-bipartite Valency 8 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 1966080 ET30.38 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET30.39 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET30.40 Non-bipartite Valency 8 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 3932160 ET30.41 Bipartite(12,18) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1451188224 ET30.42 Non-bipartite Valency 9 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 7255941120 ET30.43 Bipartite(5,25) Valencies [10,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 248832000000 ET30.44 Bipartite(15,15) Valencies [10,10] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 35831808000000 ET30.45 Non-bipartite Valency 10 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 7200 ET30.46 Bipartite(6,24) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6449725440000 ET30.47 Bipartite(6,24) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 80621568 ET30.48 Bipartite(10,20) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 955514880 ET30.49 Bipartite(10,20) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3932160 ET30.50 Bipartite(10,20) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET30.51 Bipartite(12,18) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 30958682112000 ET30.52 Bipartite(12,18) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET30.53 Bipartite(12,18) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 221184 ET30.54 Bipartite(15,15) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1440 ET30.55 Bipartite(15,15) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 14511882240 ET30.56 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 720 ET30.57 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 23592960 ET30.58 Non-bipartite Valency 12 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 1934917632000000 ET30.59 Bipartite(9,21) Valencies [14,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 165919186944000 ET30.60 Bipartite(15,15) Valencies [14,14] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2615348736000 ET30.61 Bipartite(12,18) Valencies [15,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480 ET30.62 Bipartite(15,15) Valencies [15,15] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 3420024505448398848000000 ET30.63 Bipartite(6,24) Valencies [16,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3146319396864000 ET30.64 Bipartite(10,20) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 30576476160 ET30.65 Bipartite(14,16) Valencies [16,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1824013069572479385600000 ET30.66 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 23592960 ET30.67 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 23592960 ET30.68 Bipartite(13,17) Valencies [17,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2214873013052296396800000 ET30.69 Bipartite(3,27) Valencies [18,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 286708355039232000 ET30.70 Bipartite(10,20) Valencies [18,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3715891200 ET30.71 Bipartite(12,18) Valencies [18,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3066747248841641164800000 ET30.72 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 21772800 ET30.73 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 7255941120 ET30.74 Bipartite(11,19) Valencies [19,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4855683143999265177600000 ET30.75 Bipartite(5,25) Valencies [20,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2985984000000 ET30.76 Bipartite(6,24) Valencies [20,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 137594142720 ET30.77 Bipartite(10,20) Valencies [20,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8828514807271391232000000 ET30.78 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 286708355039232000000 ET30.79 Non-bipartite Valency 20 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 86400 ET30.80 Bipartite(9,21) Valencies [21,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 18539881095269921587200000 ET30.81 Bipartite(8,22) Valencies [22,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 45319709343993141657600000 ET30.82 Bipartite(7,23) Valencies [23,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 130294164363980282265600000 ET30.83 Bipartite(6,24) Valencies [24,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 446722849247932396339200000 ET30.84 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 23219011584000000 ET30.85 Bipartite(5,25) Valencies [25,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1861345205199718318080000000 ET30.86 Non-bipartite Valency 25 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 2149908480000000 ET30.87 Bipartite(4,26) Valencies [26,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9678995067038535254016000000 ET30.88 Bipartite(3,27) Valencies [27,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 65333216702510112964608000000 ET30.89 Non-bipartite Valency 27 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 219419659468800 ET30.90 Bipartite(2,28) Valencies [28,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 609776689223427721003008000000 ET30.91 Non-bipartite Valency 28 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 42849873690624000 ET30.92 Bipartite(1,29) Valencies [29,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 8841761993739701954543616000000 ET30.93 Non-bipartite Valency 29 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 265252859812191058636308480000000 Total number of connected ET graphs of order 30 is 93 ******************************************************************************************** Order 31 ET31.1 Non-bipartite Valency 2 Diameter 15 Girth 31 Twin-free VT AT Automorphism group of order 62 ET31.2 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 186 ET31.3 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 310 ET31.4 Bipartite(15,16) Valencies [16,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 27360196043587190784000000 ET31.5 Bipartite(14,17) Valencies [17,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31008222182732149555200000 ET31.6 Bipartite(13,18) Valencies [18,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 39867714234941335142400000 ET31.7 Bipartite(12,19) Valencies [19,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 58268197727991182131200000 ET31.8 Bipartite(11,20) Valencies [20,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 97113662879985303552000000 ET31.9 Bipartite(10,21) Valencies [21,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 185398810952699215872000000 ET31.10 Bipartite(9,22) Valencies [22,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 407877384095938274918400000 ET31.11 Bipartite(8,23) Valencies [23,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1042353314911842258124800000 ET31.12 Bipartite(7,24) Valencies [24,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3127059944735526774374400000 ET31.13 Bipartite(6,25) Valencies [25,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11168071231198309908480000000 ET31.14 Bipartite(5,26) Valencies [26,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 48394975335192676270080000000 ET31.15 Bipartite(4,27) Valencies [27,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 261332866810040451858432000000 ET31.16 Bipartite(3,28) Valencies [28,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1829330067670283163009024000000 ET31.17 Bipartite(2,29) Valencies [29,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17683523987479403909087232000000 ET31.18 Bipartite(1,30) Valencies [30,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 265252859812191058636308480000000 ET31.19 Non-bipartite Valency 30 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 8222838654177922817725562880000000 Total number of connected ET graphs of order 31 is 19 ******************************************************************************************** Order 32 ET32.1 Bipartite(16,16) Valencies [2,2] Diameter 16 Girth 32 Twin-free VT AT Automorphism group of order 64 ET32.2 Bipartite(16,16) Valencies [3,3] Diameter 5 Girth 6 Twin-free VT AT Automorphism group of order 192 ET32.3 Bipartite(16,16) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 4096 ET32.4 Bipartite(16,16) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 128 ET32.5 Bipartite(16,16) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 2304 ET32.6 Bipartite(16,16) Valencies [4,4] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 256 ET32.7 Bipartite(16,16) Valencies [4,4] Diameter 8 Girth 4 Has twins VT AT Automorphism group of order 2097152 ET32.8 Bipartite(16,16) Valencies [4,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 294912 ET32.9 Bipartite(12,20) Valencies [5,3] Diameter 6 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET32.10 Bipartite(16,16) Valencies [5,5] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 3840 ET32.11 Non-bipartite Valency 5 Diameter 4 Girth 5 Twin-free VT AT Automorphism group of order 1920 ET32.12 Bipartite(8,24) Valencies [6,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 384 ET32.13 Bipartite(8,24) Valencies [6,2] Diameter 8 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 26873856 ET32.14 Bipartite(8,24) Valencies [6,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 196608 ET32.15 Bipartite(16,16) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 384 ET32.16 Bipartite(16,16) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 384 ET32.17 Bipartite(16,16) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 23040 ET32.18 Bipartite(16,16) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1536 ET32.19 Bipartite(16,16) Valencies [6,6] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 6291456 ET32.20 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 192 ET32.21 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 384 ET32.22 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 384 ET32.23 Bipartite(16,16) Valencies [7,7] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 1344 ET32.24 Bipartite(16,16) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 43008 ET32.25 Bipartite(16,16) Valencies [8,8] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 1761205026816 ET32.26 Bipartite(16,16) Valencies [8,8] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 25165824 ET32.27 Bipartite(16,16) Valencies [8,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98304 ET32.28 Bipartite(8,24) Valencies [9,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 80621568 ET32.29 Bipartite(16,16) Valencies [9,9] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2304 ET32.30 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1152 ET32.31 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1440 ET32.32 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET32.33 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480000 ET32.34 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 318504960000 ET32.35 Bipartite(12,20) Valencies [10,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3932160 ET32.36 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46080 ET32.37 Bipartite(12,20) Valencies [10,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET32.38 Bipartite(16,16) Valencies [10,10] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 23040 ET32.39 Non-bipartite Valency 10 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 125829120 ET32.40 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET32.41 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 34398535680000 ET32.42 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 73383542784 ET32.43 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9172942848 ET32.44 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 322486272 ET32.45 Bipartite(8,24) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 786432 ET32.46 Bipartite(16,16) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2304 ET32.47 Bipartite(16,16) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5283615080448 ET32.48 Bipartite(16,16) Valencies [12,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 294912 ET32.49 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 75497472 ET32.50 Non-bipartite Valency 12 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1536 ET32.51 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 12582912 ET32.52 Bipartite(4,28) Valencies [14,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5161930260480000 ET32.53 Bipartite(16,16) Valencies [14,14] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5284823040 ET32.54 Bipartite(12,20) Valencies [15,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6449725440000 ET32.55 Bipartite(16,16) Valencies [15,15] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 41845579776000 ET32.56 Non-bipartite Valency 15 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 23040 ET32.57 Non-bipartite Valency 15 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 23040 ET32.58 Bipartite(16,16) Valencies [16,16] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 875526273394790105088000000 ET32.59 Bipartite(15,17) Valencies [17,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 465123332740982243328000000 ET32.60 Bipartite(8,24) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 103195607040000 ET32.61 Bipartite(14,18) Valencies [18,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 558147999289178691993600000 ET32.62 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 75497472 ET32.63 Bipartite(13,19) Valencies [19,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 757486570463885367705600000 ET32.64 Bipartite(12,20) Valencies [20,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1165363954559823642624000000 ET32.65 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 125829120 ET32.66 Bipartite(4,28) Valencies [21,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15485790781440000 ET32.67 Bipartite(8,24) Valencies [21,7] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 67722117120 ET32.68 Bipartite(11,21) Valencies [21,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2039386920479691374592000000 ET32.69 Non-bipartite Valency 21 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 967680 ET32.70 Bipartite(10,22) Valencies [22,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4078773840959382749184000000 ET32.71 Bipartite(9,23) Valencies [23,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9381179834206580323123200000 ET32.72 Bipartite(8,24) Valencies [24,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 25016479557884214194995200000 ET32.73 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 63429799040778240000 ET32.74 Bipartite(7,25) Valencies [25,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 78176498618388169359360000000 ET32.75 Bipartite(6,26) Valencies [26,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 290369852011156057620480000000 ET32.76 Bipartite(5,27) Valencies [27,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1306664334050202259292160000000 ET32.77 Bipartite(4,28) Valencies [28,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7317320270681132652036096000000 ET32.78 Non-bipartite Valency 28 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 4438236667576320 ET32.79 Bipartite(3,29) Valencies [29,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 53050571962438211727261696000000 ET32.80 Bipartite(2,30) Valencies [30,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 530505719624382117272616960000000 ET32.81 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1371195958099968000 ET32.82 Bipartite(1,31) Valencies [31,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 8222838654177922817725562880000000 ET32.83 Non-bipartite Valency 31 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 263130836933693530167218012160000000 Total number of connected ET graphs of order 32 is 83 ******************************************************************************************** Order 33 ET33.1 Non-bipartite Valency 2 Diameter 16 Girth 33 Twin-free VT AT Automorphism group of order 66 ET33.2 Bipartite(11,22) Valencies [4,2] Diameter 11 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 45056 ET33.3 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 132 ET33.4 Bipartite(15,18) Valencies [6,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 360 ET33.5 Bipartite(15,18) Valencies [6,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33592320 ET33.6 Non-bipartite Valency 6 Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 7981535232 ET33.7 Bipartite(9,24) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 13759414272 ET33.8 Bipartite(9,24) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1769472 ET33.9 Bipartite(6,27) Valencies [9,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 725594112 ET33.10 Bipartite(11,22) Valencies [10,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 110 ET33.11 Bipartite(11,22) Valencies [10,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1351680 ET33.12 Non-bipartite Valency 10 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 330 ET33.13 Bipartite(11,22) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1351680 ET33.14 Bipartite(15,18) Valencies [12,10] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 360 ET33.15 Bipartite(15,18) Valencies [12,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3869835264000000 ET33.16 Bipartite(15,18) Valencies [12,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33592320 ET33.17 Bipartite(12,21) Valencies [14,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10618827964416000 ET33.18 Bipartite(9,24) Valencies [16,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 84950623715328000 ET33.19 Bipartite(9,24) Valencies [16,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 13759414272 ET33.20 Bipartite(9,24) Valencies [16,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1769472 ET33.21 Bipartite(16,17) Valencies [17,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7441973323855715893248000000 ET33.22 Bipartite(6,27) Valencies [18,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2293666840313856000 ET33.23 Bipartite(6,27) Valencies [18,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 725594112 ET33.24 Bipartite(15,18) Valencies [18,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8372219989337680379904000000 ET33.25 Bipartite(14,19) Valencies [19,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10604811986494395147878400000 ET33.26 Bipartite(3,30) Valencies [20,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 286708355039232000000 ET33.27 Bipartite(11,22) Valencies [20,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 81749606400 ET33.28 Bipartite(13,20) Valencies [20,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15149731409277707354112000000 ET33.29 Non-bipartite Valency 20 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 239500800 ET33.30 Bipartite(12,21) Valencies [21,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 24472643045756296495104000000 ET33.31 Bipartite(11,22) Valencies [22,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 44866512250553210241024000000 ET33.32 Non-bipartite Valency 22 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 381608820557217792000000 ET33.33 Bipartite(10,23) Valencies [23,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 93811798342065803231232000000 ET33.34 Bipartite(9,24) Valencies [24,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 225148316020957927754956800000 ET33.35 Bipartite(8,25) Valencies [25,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 625411988947105354874880000000 ET33.36 Bipartite(7,26) Valencies [26,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2032588964078092403343360000000 ET33.37 Bipartite(6,27) Valencies [27,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7839986004301213555752960000000 ET33.38 Bipartite(5,28) Valencies [28,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36586601353405663260180480000000 ET33.39 Bipartite(4,29) Valencies [29,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 212202287849752846909046784000000 ET33.40 Bipartite(3,30) Valencies [30,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1591517158873146351817850880000000 ET33.41 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 14481697524940800 ET33.42 Bipartite(2,31) Valencies [31,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 16445677308355845635451125760000000 ET33.43 Bipartite(1,32) Valencies [32,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 263130836933693530167218012160000000 ET33.44 Non-bipartite Valency 32 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 8683317618811886495518194401280000000 Total number of connected ET graphs of order 33 is 44 ******************************************************************************************** Order 34 ET34.1 Bipartite(17,17) Valencies [2,2] Diameter 17 Girth 34 Twin-free VT AT Automorphism group of order 68 ET34.2 Bipartite(17,17) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 136 ET34.3 Non-bipartite Valency 4 Diameter 8 Girth 4 Has twins VT AT Automorphism group of order 4456448 ET34.4 Bipartite(17,17) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 272 ET34.5 Non-bipartite Valency 8 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 8912896 ET34.6 Bipartite(16,18) Valencies [9,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET34.7 Bipartite(16,18) Valencies [9,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 371504185344 ET34.8 Bipartite(16,18) Valencies [9,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 573308928 ET34.9 Bipartite(12,22) Valencies [11,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 7920 ET34.10 Bipartite(10,24) Valencies [12,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11466178560 ET34.11 Bipartite(10,24) Valencies [12,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 491520 ET34.12 Bipartite(6,28) Valencies [14,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15485790781440000 ET34.13 Bipartite(4,30) Valencies [15,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 71663616000000 ET34.14 Bipartite(17,17) Valencies [16,16] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 711374856192000 ET34.15 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 17825792 ET34.16 Bipartite(17,17) Valencies [17,17] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 253027093011094340370432000000 ET34.17 Bipartite(16,18) Valencies [18,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 133955519829402886078464000000 ET34.18 Bipartite(15,19) Valencies [19,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 159072179797415927218176000000 ET34.19 Bipartite(14,20) Valencies [20,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 212096239729887902957568000000 ET34.20 Bipartite(13,21) Valencies [21,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 318144359594831854436352000000 ET34.21 Bipartite(12,22) Valencies [22,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 538398147006638522892288000000 ET34.22 Bipartite(11,23) Valencies [23,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1031929781762723835543552000000 ET34.23 Bipartite(10,24) Valencies [24,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2251483160209579277549568000000 ET34.24 Bipartite(9,25) Valencies [25,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5628707900523948193873920000000 ET34.25 Bipartite(8,26) Valencies [26,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 16260711712624739226746880000000 ET34.26 Bipartite(7,27) Valencies [27,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 54879902030108494890270720000000 ET34.27 Bipartite(6,28) Valencies [28,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 219519608120433979561082880000000 ET34.28 Bipartite(5,29) Valencies [29,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1061011439248764234545233920000000 ET34.29 Bipartite(4,30) Valencies [30,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6366068635492585407271403520000000 ET34.30 Bipartite(3,31) Valencies [31,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49337031925067536906353377280000000 ET34.31 Bipartite(2,32) Valencies [32,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 526261673867387060334436024320000000 ET34.32 Non-bipartite Valency 32 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 46620662575398912000 ET34.33 Bipartite(1,33) Valencies [33,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 8683317618811886495518194401280000000 ET34.34 Non-bipartite Valency 33 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 295232799039604140847618609643520000000 Total number of connected ET graphs of order 34 is 34 ******************************************************************************************** Order 35 ET35.1 Non-bipartite Valency 2 Diameter 17 Girth 35 Twin-free VT AT Automorphism group of order 70 ET35.2 Bipartite(14,21) Valencies [3,2] Diameter 6 Girth 12 Twin-free Non-VT Non-AT Automorphism group of order 336 ET35.3 Bipartite(15,20) Valencies [4,3] Diameter 6 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 720 ET35.4 Bipartite(15,20) Valencies [4,3] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET35.5 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 140 ET35.6 Non-bipartite Valency 4 Diameter 3 Girth 6 Twin-free VT AT Automorphism group of order 5040 ET35.7 Bipartite(10,25) Valencies [5,2] Diameter 4 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 28800 ET35.8 Bipartite(14,21) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET35.9 Bipartite(14,21) Valencies [6,4] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 501645312 ET35.10 Bipartite(14,21) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 645120 ET35.11 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 210 ET35.12 Bipartite(7,28) Valencies [8,2] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 64210599936 ET35.13 Bipartite(15,20) Valencies [8,6] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 619173642240 ET35.14 Bipartite(15,20) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 955514880 ET35.15 Bipartite(15,20) Valencies [8,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 737280 ET35.16 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1680 ET35.17 Bipartite(14,21) Valencies [9,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6019743744 ET35.18 Bipartite(14,21) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11757312 ET35.19 Bipartite(10,25) Valencies [10,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 200 ET35.20 Bipartite(10,25) Valencies [10,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7962624000000 ET35.21 Bipartite(10,25) Valencies [10,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2985984000000 ET35.22 Non-bipartite Valency 10 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5016453120000000 ET35.23 Bipartite(5,30) Valencies [12,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1934917632000000 ET35.24 Bipartite(5,30) Valencies [12,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET35.25 Bipartite(7,28) Valencies [12,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 168 ET35.26 Bipartite(7,28) Valencies [12,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 770527199232 ET35.27 Bipartite(7,28) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 688128 ET35.28 Bipartite(14,21) Valencies [12,8] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET35.29 Bipartite(14,21) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6019743744 ET35.30 Bipartite(15,20) Valencies [12,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 955514880 ET35.31 Bipartite(15,20) Valencies [12,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 737280 ET35.32 Non-bipartite Valency 12 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 50400 ET35.33 Non-bipartite Valency 12 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 5040 ET35.34 Non-bipartite Valency 14 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 32520160641024000000 ET35.35 Bipartite(10,25) Valencies [15,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2985984000000 ET35.36 Bipartite(14,21) Valencies [15,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 645120 ET35.37 Bipartite(7,28) Valencies [16,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 770527199232 ET35.38 Bipartite(15,20) Valencies [16,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7430083706880 ET35.39 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 40320 ET35.40 Bipartite(5,30) Valencies [18,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET35.41 Bipartite(14,21) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 180592312320 ET35.42 Bipartite(17,18) Valencies [18,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2277243837099849063333888000000 ET35.43 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 40320 ET35.44 Bipartite(16,19) Valencies [19,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2545154876758654835490816000000 ET35.45 Bipartite(10,25) Valencies [20,8] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 28800 ET35.46 Bipartite(10,25) Valencies [20,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 95551488000000 ET35.47 Bipartite(15,20) Valencies [20,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3181443595948318544363520000000 ET35.48 Bipartite(14,21) Valencies [21,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4454021034327645962108928000000 ET35.49 Bipartite(13,22) Valencies [22,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6999175911086300797599744000000 ET35.50 Bipartite(12,23) Valencies [23,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12383157381152686026522624000000 ET35.51 Bipartite(5,30) Valencies [24,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23219011584000000 ET35.52 Bipartite(7,28) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23115815976960 ET35.53 Bipartite(11,24) Valencies [24,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 24766314762305372053045248000000 ET35.54 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 604800 ET35.55 Bipartite(10,25) Valencies [25,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 56287079005239481938739200000000 ET35.56 Bipartite(9,26) Valencies [26,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 146346405413622653040721920000000 ET35.57 Bipartite(8,27) Valencies [27,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 439039216240867959122165760000000 ET35.58 Bipartite(7,28) Valencies [28,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1536637256843037856927580160000000 ET35.59 Non-bipartite Valency 28 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 390241927692288000000 ET35.60 Bipartite(6,29) Valencies [29,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6366068635492585407271403520000000 ET35.61 Bipartite(5,30) Valencies [30,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31830343177462927036357017600000000 ET35.62 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1805923123200000000 ET35.63 Bipartite(4,31) Valencies [31,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 197348127700270147625413509120000000 ET35.64 Bipartite(3,32) Valencies [32,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1578785021602161181003308072960000000 ET35.65 Bipartite(2,33) Valencies [33,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17366635237623772991036388802560000000 ET35.66 Bipartite(1,34) Valencies [34,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 295232799039604140847618609643520000000 ET35.67 Non-bipartite Valency 34 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 10333147966386144929666651337523200000000 Total number of connected ET graphs of order 35 is 67 ******************************************************************************************** Order 36 ET36.1 Bipartite(18,18) Valencies [2,2] Diameter 18 Girth 36 Twin-free VT AT Automorphism group of order 72 ET36.2 Bipartite(12,24) Valencies [4,2] Diameter 6 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 48 ET36.3 Bipartite(12,24) Valencies [4,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 768 ET36.4 Bipartite(12,24) Valencies [4,2] Diameter 12 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98304 ET36.5 Bipartite(18,18) Valencies [4,4] Diameter 6 Girth 4 Twin-free VT AT Automorphism group of order 288 ET36.6 Bipartite(18,18) Valencies [4,4] Diameter 6 Girth 4 Twin-free VT AT Automorphism group of order 144 ET36.7 Bipartite(18,18) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 144 ET36.8 Bipartite(18,18) Valencies [4,4] Diameter 9 Girth 4 Has twins VT AT Automorphism group of order 9437184 ET36.9 Bipartite(18,18) Valencies [4,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36864 ET36.10 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 9216 ET36.11 Non-bipartite Valency 4 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 144 ET36.12 Bipartite(16,20) Valencies [5,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 160 ET36.13 Bipartite(16,20) Valencies [5,4] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 5760 ET36.14 Non-bipartite Valency 5 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 1440 ET36.15 Bipartite(9,27) Valencies [6,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET36.16 Bipartite(9,27) Valencies [6,2] Diameter 9 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 181398528 ET36.17 Bipartite(12,24) Valencies [6,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET36.18 Bipartite(12,24) Valencies [6,3] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 80621568 ET36.19 Bipartite(12,24) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 294912 ET36.20 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 432 ET36.21 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 10368 ET36.22 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 216 ET36.23 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 4320 ET36.24 Bipartite(18,18) Valencies [6,6] Diameter 6 Girth 4 Has twins VT AT Automorphism group of order 52242776064 ET36.25 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1719926784 ET36.26 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 56623104 ET36.27 Bipartite(18,18) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 55296 ET36.28 Non-bipartite Valency 6 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 432 ET36.29 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 432 ET36.30 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 216 ET36.31 Bipartite(8,28) Valencies [7,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 40320 ET36.32 Non-bipartite Valency 7 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 504 ET36.33 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 768 ET36.34 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 768 ET36.35 Bipartite(12,24) Valencies [8,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 146767085568 ET36.36 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9172942848 ET36.37 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12582912 ET36.38 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1572864 ET36.39 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 196608 ET36.40 Bipartite(12,24) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 196608 ET36.41 Bipartite(18,18) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 576 ET36.42 Bipartite(18,18) Valencies [8,8] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 37748736 ET36.43 Bipartite(18,18) Valencies [8,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 73728 ET36.44 Bipartite(18,18) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT Non-AT Automorphism group of order 144 ET36.45 Non-bipartite Valency 8 Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 47552535724032 ET36.46 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 288 ET36.47 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 288 ET36.48 Non-bipartite Valency 8 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 4608 ET36.49 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 4608 ET36.50 Bipartite(9,27) Valencies [9,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET36.51 Bipartite(9,27) Valencies [9,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1088391168 ET36.52 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 648 ET36.53 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET36.54 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET36.55 Bipartite(6,30) Valencies [10,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 35831808000000 ET36.56 Bipartite(6,30) Valencies [10,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET36.57 Bipartite(12,24) Valencies [10,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 983040 ET36.58 Bipartite(16,20) Valencies [10,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1920 ET36.59 Bipartite(16,20) Valencies [10,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 550376570880000 ET36.60 Bipartite(16,20) Valencies [10,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1966080 ET36.61 Bipartite(18,18) Valencies [10,10] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 8640 ET36.62 Non-bipartite Valency 10 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 720 ET36.63 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 720 ET36.64 Non-bipartite Valency 10 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1036800 ET36.65 Bipartite(9,27) Valencies [12,4] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET36.66 Bipartite(9,27) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 725594112 ET36.67 Bipartite(12,24) Valencies [12,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET36.68 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 2304 ET36.69 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2786281390080000 ET36.70 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 412782428160000 ET36.71 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5944066965504 ET36.72 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5159780352 ET36.73 Bipartite(12,24) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 322486272 ET36.74 Bipartite(12,24) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 589824 ET36.75 Bipartite(12,24) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET36.76 Bipartite(12,24) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET36.77 Bipartite(18,18) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 10368 ET36.78 Bipartite(18,18) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 4320 ET36.79 Bipartite(18,18) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 1671768834048000000 ET36.80 Bipartite(18,18) Valencies [12,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1719926784 ET36.81 Bipartite(18,18) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 56623104 ET36.82 Non-bipartite Valency 12 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 104485552128 ET36.83 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1728 ET36.84 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 432 ET36.85 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT Non-AT Automorphism group of order 432 ET36.86 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 432 ET36.87 Bipartite(8,28) Valencies [14,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET36.88 Bipartite(8,28) Valencies [14,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82590884167680000 ET36.89 Bipartite(8,28) Valencies [14,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 22020096 ET36.90 Bipartite(15,21) Valencies [14,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1327353495552000000 ET36.91 Non-bipartite Valency 14 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 362880 ET36.92 Non-bipartite Valency 14 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 12096 ET36.93 Bipartite(6,30) Valencies [15,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3627970560 ET36.94 Bipartite(16,20) Valencies [15,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 5760 ET36.95 Bipartite(16,20) Valencies [15,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1651129712640000 ET36.96 Bipartite(18,18) Valencies [15,15] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 3134566563840 ET36.97 Non-bipartite Valency 15 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 261213880320 ET36.98 Non-bipartite Valency 15 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET36.99 Bipartite(4,32) Valencies [16,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21143266346926080000 ET36.100 Bipartite(12,24) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5436839917780992000 ET36.101 Bipartite(18,18) Valencies [16,16] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 190253629440 ET36.102 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 190210142896128 ET36.103 Bipartite(18,18) Valencies [17,17] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 12804747411456000 ET36.104 Non-bipartite Valency 17 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 4896 ET36.105 Bipartite(9,27) Valencies [18,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET36.106 Bipartite(9,27) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 61929004688474112000 ET36.107 Bipartite(9,27) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1088391168 ET36.108 Bipartite(12,24) Valencies [18,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8358844170240000 ET36.109 Bipartite(18,18) Valencies [18,18] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 81980778135594566280019968000000 ET36.110 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 313456656384 ET36.111 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET36.112 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1296 ET36.113 Bipartite(17,19) Valencies [19,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 43267632904897132203343872000000 ET36.114 Bipartite(6,30) Valencies [20,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2293666840313856000000 ET36.115 Bipartite(6,30) Valencies [20,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET36.116 Bipartite(12,24) Valencies [20,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8806025134080 ET36.117 Bipartite(16,20) Valencies [20,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 50903097535173096709816320000000 ET36.118 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1132462080 ET36.119 Non-bipartite Valency 20 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET36.120 Non-bipartite Valency 20 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET36.121 Bipartite(8,28) Valencies [21,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 40320 ET36.122 Bipartite(8,28) Valencies [21,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 247772652503040000 ET36.123 Bipartite(15,21) Valencies [21,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 66810315514914689431633920000000 ET36.124 Non-bipartite Valency 21 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 362880 ET36.125 Non-bipartite Valency 21 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 12096 ET36.126 Bipartite(3,33) Valencies [22,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 381608820557217792000000 ET36.127 Bipartite(12,24) Valencies [22,11] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1961990553600 ET36.128 Bipartite(14,22) Valencies [22,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 97988462755208211166396416000000 ET36.129 Non-bipartite Valency 22 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 2874009600 ET36.130 Bipartite(13,23) Valencies [23,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 160981045954984918344794112000000 ET36.131 Bipartite(4,32) Valencies [24,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 63429799040778240000 ET36.132 Bipartite(9,27) Valencies [24,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3656994324480 ET36.133 Bipartite(12,24) Valencies [24,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 297195777147664464636542976000000 ET36.134 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 659420041922872344576000000 ET36.135 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 8709120 ET36.136 Bipartite(6,30) Valencies [25,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480000000 ET36.137 Bipartite(11,25) Valencies [25,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 619157869057634301326131200000000 ET36.138 Non-bipartite Valency 25 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1036800 ET36.139 Bipartite(10,26) Valencies [26,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1463464054136226530407219200000000 ET36.140 Bipartite(9,27) Valencies [27,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3951352946167811632099491840000000 ET36.141 Non-bipartite Valency 27 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 416162911506546032640000 ET36.142 Bipartite(8,28) Valencies [28,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12293098054744302855420641280000000 ET36.143 Bipartite(7,29) Valencies [29,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 44562480448448097850899824640000000 ET36.144 Bipartite(6,30) Valencies [30,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 190982059064777562218142105600000000 ET36.145 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 100306130042880000000 ET36.146 Bipartite(5,31) Valencies [31,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 986740638501350738127067545600000000 ET36.147 Bipartite(4,32) Valencies [32,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6315140086408644724013232291840000000 ET36.148 Non-bipartite Valency 32 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 958659120196485120 ET36.149 Bipartite(3,33) Valencies [33,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 52099905712871318973109166407680000000 ET36.150 Non-bipartite Valency 33 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1042682221795737600 ET36.151 Bipartite(2,34) Valencies [34,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 590465598079208281695237219287040000000 ET36.152 Non-bipartite Valency 34 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1678343852714360832000 ET36.153 Bipartite(1,35) Valencies [35,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 10333147966386144929666651337523200000000 ET36.154 Non-bipartite Valency 35 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 371993326789901217467999448150835200000000 Total number of connected ET graphs of order 36 is 154 ******************************************************************************************** Order 37 ET37.1 Non-bipartite Valency 2 Diameter 18 Girth 37 Twin-free VT AT Automorphism group of order 74 ET37.2 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 148 ET37.3 Non-bipartite Valency 6 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 222 ET37.4 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 444 ET37.5 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 666 ET37.6 Bipartite(18,19) Valencies [19,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 778817392288148379660189696000000 ET37.7 Bipartite(17,20) Valencies [20,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 865352658097942644066877440000000 ET37.8 Bipartite(16,21) Valencies [21,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1068965048238635030906142720000000 ET37.9 Bipartite(15,22) Valencies [22,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1469826941328123167495946240000000 ET37.10 Bipartite(14,23) Valencies [23,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2253734643369788856827117568000000 ET37.11 Bipartite(13,24) Valencies [24,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3863545102919638040275058688000000 ET37.12 Bipartite(12,25) Valencies [25,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7429894428691611615913574400000000 ET37.13 Bipartite(11,26) Valencies [26,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 16098104595498491834479411200000000 ET37.14 Bipartite(10,27) Valencies [27,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 39513529461678116320994918400000000 ET37.15 Bipartite(9,28) Valencies [28,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 110637882492698725698785771520000000 ET37.16 Bipartite(8,29) Valencies [29,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 356499843587584782807198597120000000 ET37.17 Bipartite(7,30) Valencies [30,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1336874413453442935526994739200000000 ET37.18 Bipartite(6,31) Valencies [31,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5920443831008104428762405273600000000 ET37.19 Bipartite(5,32) Valencies [32,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31575700432043223620066161459200000000 ET37.20 Bipartite(4,33) Valencies [33,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 208399622851485275892436665630720000000 ET37.21 Bipartite(3,34) Valencies [34,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1771396794237624845085711657861120000000 ET37.22 Bipartite(2,35) Valencies [35,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20666295932772289859333302675046400000000 ET37.23 Bipartite(1,36) Valencies [36,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 371993326789901217467999448150835200000000 ET37.24 Non-bipartite Valency 36 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 13763753091226345046315979581580902400000000 Total number of connected ET graphs of order 37 is 24 ******************************************************************************************** Order 38 ET38.1 Bipartite(19,19) Valencies [2,2] Diameter 19 Girth 38 Twin-free VT AT Automorphism group of order 76 ET38.2 Bipartite(19,19) Valencies [3,3] Diameter 5 Girth 6 Twin-free VT AT Automorphism group of order 114 ET38.3 Non-bipartite Valency 4 Diameter 9 Girth 4 Has twins VT AT Automorphism group of order 19922944 ET38.4 Bipartite(19,19) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 228 ET38.5 Bipartite(19,19) Valencies [9,9] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 342 ET38.6 Bipartite(18,20) Valencies [10,9] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 232190115840000 ET38.7 Bipartite(18,20) Valencies [10,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2866544640 ET38.8 Bipartite(18,20) Valencies [10,9] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33592320 ET38.9 Bipartite(14,24) Valencies [12,7] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2257403904 ET38.10 Non-bipartite Valency 12 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 59768832 ET38.11 Bipartite(8,30) Valencies [15,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1146617856000000 ET38.12 Bipartite(8,30) Valencies [15,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 143327232000000 ET38.13 Bipartite(6,32) Valencies [16,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 63429799040778240000 ET38.14 Bipartite(6,32) Valencies [16,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5283615080448 ET38.15 Bipartite(19,19) Valencies [18,18] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 243290200817664000 ET38.16 Bipartite(19,19) Valencies [19,19] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 29595060906949638427087208448000000 ET38.17 Bipartite(18,20) Valencies [20,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15576347845762967593203793920000000 ET38.18 Bipartite(17,21) Valencies [21,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 18172405820056795525404426240000000 ET38.19 Bipartite(16,22) Valencies [22,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23517231061249970679935139840000000 ET38.20 Bipartite(15,23) Valencies [23,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33806019650546832852406763520000000 ET38.21 Bipartite(14,24) Valencies [24,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 54089631440874932563850821632000000 ET38.22 Bipartite(13,25) Valencies [25,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 96588627572990951006876467200000000 ET38.23 Bipartite(12,26) Valencies [26,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 193177255145981902013752934400000000 ET38.24 Bipartite(11,27) Valencies [27,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 434648824078459279530944102400000000 ET38.25 Bipartite(10,28) Valencies [28,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1106378824926987256987857715200000000 ET38.26 Bipartite(9,29) Valencies [29,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3208498592288263045264787374080000000 ET38.27 Bipartite(8,30) Valencies [30,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10694995307627543484215957913600000000 ET38.28 Bipartite(7,31) Valencies [31,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 41443106817056731001336836915200000000 ET38.29 Bipartite(6,32) Valencies [32,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 189454202592259341720396968755200000000 ET38.30 Bipartite(5,33) Valencies [33,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1041998114257426379462183328153600000000 ET38.31 Bipartite(4,34) Valencies [34,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7085587176950499380342846631444480000000 ET38.32 Bipartite(3,35) Valencies [35,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 61998887798316869577999908025139200000000 ET38.33 Bipartite(2,36) Valencies [36,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 743986653579802434935998896301670400000000 ET38.34 Non-bipartite Valency 36 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 63777066403145711616000 ET38.35 Bipartite(1,37) Valencies [37,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 13763753091226345046315979581580902400000000 ET38.36 Non-bipartite Valency 37 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 523022617466601111760007224100074291200000000 Total number of connected ET graphs of order 38 is 36 ******************************************************************************************** Order 39 ET39.1 Non-bipartite Valency 2 Diameter 19 Girth 39 Twin-free VT AT Automorphism group of order 78 ET39.2 Bipartite(13,26) Valencies [4,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 52 ET39.3 Bipartite(13,26) Valencies [4,2] Diameter 13 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 212992 ET39.4 Non-bipartite Valency 4 Diameter 6 Girth 4 Twin-free VT AT Automorphism group of order 156 ET39.5 Non-bipartite Valency 4 Diameter 4 Girth 3 Twin-free VT Non-AT Automorphism group of order 78 ET39.6 Bipartite(13,26) Valencies [6,3] Diameter 5 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 78 ET39.7 Bipartite(13,26) Valencies [6,3] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 319488 ET39.8 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 234 ET39.9 Non-bipartite Valency 6 Diameter 6 Girth 4 Has twins VT AT Automorphism group of order 339578044416 ET39.10 Bipartite(13,26) Valencies [8,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 425984 ET39.11 Bipartite(13,26) Valencies [8,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46006272 ET39.12 Bipartite(15,24) Valencies [8,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 137594142720 ET39.13 Bipartite(15,24) Valencies [8,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 491520 ET39.14 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 312 ET39.15 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT Non-AT Automorphism group of order 156 ET39.16 Bipartite(12,27) Valencies [9,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET39.17 Bipartite(12,27) Valencies [9,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46438023168 ET39.18 Bipartite(12,27) Valencies [9,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4353564672 ET39.19 Bipartite(9,30) Valencies [10,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 214990848000000 ET39.20 Bipartite(13,26) Valencies [12,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 156 ET39.21 Bipartite(13,26) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 638976 ET39.22 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 468 ET39.23 Non-bipartite Valency 12 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 679156088832 ET39.24 Bipartite(18,21) Valencies [14,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 286708355039232000000 ET39.25 Bipartite(15,24) Valencies [16,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 679604989722624000000 ET39.26 Bipartite(15,24) Valencies [16,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 137594142720 ET39.27 Bipartite(12,27) Valencies [18,8] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET39.28 Bipartite(12,27) Valencies [18,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3963456300062343168000 ET39.29 Bipartite(12,27) Valencies [18,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46438023168 ET39.30 Bipartite(12,27) Valencies [18,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4353564672 ET39.31 Bipartite(13,26) Valencies [18,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 46006272 ET39.32 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1018734133248 ET39.33 Bipartite(9,30) Valencies [20,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 61929004688474112000000 ET39.34 Bipartite(9,30) Valencies [20,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 214990848000000 ET39.35 Bipartite(19,20) Valencies [20,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 295950609069496384270872084480000000 ET39.36 Bipartite(18,21) Valencies [21,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 327103304761022319457279672320000000 ET39.37 Bipartite(6,33) Valencies [22,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3052870564457742336000000 ET39.38 Bipartite(17,22) Valencies [22,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 399792928041249501558897377280000000 ET39.39 Bipartite(16,23) Valencies [23,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 540896314408749325638508216320000000 ET39.40 Bipartite(3,36) Valencies [24,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 659420041922872344576000000 ET39.41 Bipartite(13,26) Valencies [24,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 51011754393600 ET39.42 Bipartite(15,24) Valencies [24,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 811344471613123988457762324480000000 ET39.43 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 37362124800 ET39.44 Bipartite(14,25) Valencies [25,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1352240786021873314096270540800000000 ET39.45 Bipartite(13,26) Valencies [26,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2511304316897764726178788147200000000 ET39.46 Non-bipartite Valency 26 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1448745832104550541033472000000 ET39.47 Bipartite(12,27) Valencies [27,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5215785888941511354371329228800000000 ET39.48 Bipartite(11,28) Valencies [28,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12170167074196859826866434867200000000 ET39.49 Bipartite(10,29) Valencies [29,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 32084985922882630452647873740800000000 ET39.50 Bipartite(9,30) Valencies [30,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 96254957768647891357943621222400000000 ET39.51 Bipartite(8,31) Valencies [31,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 331544854536453848010694695321600000000 ET39.52 Bipartite(7,32) Valencies [32,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1326179418145815392042778781286400000000 ET39.53 Bipartite(6,33) Valencies [33,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6251988685544558276773099968921600000000 ET39.54 Bipartite(5,34) Valencies [34,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 35427935884752496901714233157222400000000 ET39.55 Bipartite(4,35) Valencies [35,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 247995551193267478311999632100556800000000 ET39.56 Bipartite(3,36) Valencies [36,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2231959960739407304807996688905011200000000 ET39.57 Non-bipartite Valency 36 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 81329213300067532800 ET39.58 Bipartite(2,37) Valencies [37,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 27527506182452690092631959163161804800000000 ET39.59 Bipartite(1,38) Valencies [38,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 523022617466601111760007224100074291200000000 ET39.60 Non-bipartite Valency 38 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 20397882081197443358640281739902897356800000000 Total number of connected ET graphs of order 39 is 60 ******************************************************************************************** Order 40 ET40.1 Bipartite(20,20) Valencies [2,2] Diameter 20 Girth 40 Twin-free VT AT Automorphism group of order 80 ET40.2 Bipartite(16,24) Valencies [3,2] Diameter 8 Girth 12 Twin-free Non-VT Non-AT Automorphism group of order 96 ET40.3 Bipartite(20,20) Valencies [3,3] Diameter 6 Girth 8 Twin-free VT AT Automorphism group of order 480 ET40.4 Bipartite(20,20) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 160 ET40.5 Bipartite(20,20) Valencies [4,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 80 ET40.6 Bipartite(20,20) Valencies [4,4] Diameter 6 Girth 4 Twin-free VT AT Automorphism group of order 160 ET40.7 Bipartite(20,20) Valencies [4,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 80 ET40.8 Bipartite(20,20) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 160 ET40.9 Bipartite(20,20) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 160 ET40.10 Bipartite(20,20) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 160 ET40.11 Bipartite(20,20) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 20480 ET40.12 Bipartite(20,20) Valencies [4,4] Diameter 10 Girth 4 Has twins VT AT Automorphism group of order 41943040 ET40.13 Bipartite(20,20) Valencies [4,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 245760 ET40.14 Bipartite(20,20) Valencies [4,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 327680 ET40.15 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 320 ET40.16 Bipartite(15,25) Valencies [5,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 600 ET40.17 Bipartite(10,30) Valencies [6,2] Diameter 5 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 120 ET40.18 Bipartite(10,30) Valencies [6,2] Diameter 10 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1209323520 ET40.19 Bipartite(10,30) Valencies [6,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3932160 ET40.20 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET40.21 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET40.22 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET40.23 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET40.24 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 6144 ET40.25 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET40.26 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 96 ET40.27 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 384 ET40.28 Bipartite(16,24) Valencies [6,4] Diameter 8 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6879707136 ET40.29 Bipartite(16,24) Valencies [6,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 50331648 ET40.30 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1934917632 ET40.31 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98304 ET40.32 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET40.33 Bipartite(16,24) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 786432 ET40.34 Bipartite(20,20) Valencies [6,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 240 ET40.35 Bipartite(20,20) Valencies [6,6] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 480 ET40.36 Bipartite(20,20) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 480 ET40.37 Bipartite(20,20) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122880 ET40.38 Bipartite(20,20) Valencies [6,6] Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 251658240 ET40.39 Non-bipartite Valency 6 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 240 ET40.40 Non-bipartite Valency 6 Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 125829120 ET40.41 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 480 ET40.42 Non-bipartite Valency 6 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 480 ET40.43 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 7680 ET40.44 Non-bipartite Valency 6 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 7680 ET40.45 Bipartite(8,32) Valencies [8,2] Diameter 8 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1761205026816 ET40.46 Bipartite(8,32) Valencies [8,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 75497472 ET40.47 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 320 ET40.48 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 1920 ET40.49 Bipartite(20,20) Valencies [8,8] Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 1268067619307520 ET40.50 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 978447237120 ET40.51 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 83886080 ET40.52 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT Non-AT Automorphism group of order 640 ET40.53 Bipartite(20,20) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT Non-AT Automorphism group of order 320 ET40.54 Bipartite(20,20) Valencies [8,8] Diameter 4 Girth 4 Twin-free VT Non-AT Automorphism group of order 640 ET40.55 Non-bipartite Valency 8 Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 335544320 ET40.56 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 1920 ET40.57 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1920 ET40.58 Non-bipartite Valency 8 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 10240 ET40.59 Bipartite(10,30) Valencies [9,3] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET40.60 Bipartite(16,24) Valencies [9,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 576 ET40.61 Bipartite(16,24) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20639121408 ET40.62 Bipartite(20,20) Valencies [9,9] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 5760 ET40.63 Non-bipartite Valency 9 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET40.64 Non-bipartite Valency 9 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2880 ET40.65 Bipartite(15,25) Valencies [10,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 300 ET40.66 Bipartite(15,25) Valencies [10,6] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1934917632000000 ET40.67 Bipartite(20,20) Valencies [10,10] Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 687970713600000000 ET40.68 Bipartite(8,32) Valencies [12,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 384 ET40.69 Bipartite(8,32) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5283615080448 ET40.70 Bipartite(10,30) Valencies [12,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 240 ET40.71 Bipartite(10,30) Valencies [12,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1440 ET40.72 Bipartite(10,30) Valencies [12,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 61917364224000000 ET40.73 Bipartite(10,30) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23219011584000000 ET40.74 Bipartite(10,30) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 232190115840 ET40.75 Bipartite(10,30) Valencies [12,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2418647040 ET40.76 Bipartite(10,30) Valencies [12,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET40.77 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 9216 ET40.78 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 9216 ET40.79 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 768 ET40.80 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 713288035860480000 ET40.81 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1521681143169024 ET40.82 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2348273369088 ET40.83 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82556485632 ET40.84 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 644972544 ET40.85 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 201326592 ET40.86 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49152 ET40.87 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3145728 ET40.88 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4718592 ET40.89 Bipartite(16,24) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 786432 ET40.90 Bipartite(20,20) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 5760 ET40.91 Bipartite(20,20) Valencies [12,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 978447237120 ET40.92 Bipartite(20,20) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 251658240 ET40.93 Non-bipartite Valency 12 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 7608405715845120 ET40.94 Non-bipartite Valency 12 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 251658240 ET40.95 Non-bipartite Valency 12 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 251658240 ET40.96 Non-bipartite Valency 12 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 251658240 ET40.97 Non-bipartite Valency 12 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 3840 ET40.98 Non-bipartite Valency 12 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 3840 ET40.99 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET40.100 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1920 ET40.101 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET40.102 Bipartite(5,35) Valencies [14,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 32520160641024000000 ET40.103 Bipartite(12,28) Valencies [14,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6689861617582080000 ET40.104 Bipartite(12,28) Valencies [14,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 991090610012160000 ET40.105 Non-bipartite Valency 14 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 403200 ET40.106 Bipartite(10,30) Valencies [15,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 179159040000000 ET40.107 Bipartite(20,20) Valencies [15,15] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 2063912140800000000 ET40.108 Bipartite(8,32) Valencies [16,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 338292261550817280000 ET40.109 Bipartite(8,32) Valencies [16,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21134460321792 ET40.110 Bipartite(8,32) Valencies [16,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 25165824 ET40.111 Bipartite(20,20) Valencies [16,16] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 15216811431690240 ET40.112 Non-bipartite Valency 16 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 1065620623885074432000000 ET40.113 Non-bipartite Valency 16 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 7680 ET40.114 Non-bipartite Valency 16 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 7680 ET40.115 Bipartite(4,36) Valencies [18,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 138720970502182010880000 ET40.116 Bipartite(4,36) Valencies [18,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3343537668096000000 ET40.117 Bipartite(10,30) Valencies [18,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1440 ET40.118 Bipartite(10,30) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23219011584000000 ET40.119 Bipartite(10,30) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 232190115840 ET40.120 Bipartite(10,30) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET40.121 Bipartite(10,30) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET40.122 Bipartite(16,24) Valencies [18,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET40.123 Bipartite(16,24) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2139864107581440000 ET40.124 Bipartite(16,24) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1934917632 ET40.125 Bipartite(16,24) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2359296 ET40.126 Bipartite(20,20) Valencies [18,18] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 7610145177600 ET40.127 Non-bipartite Valency 18 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 1509949440 ET40.128 Non-bipartite Valency 18 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 2880 ET40.129 Non-bipartite Valency 18 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET40.130 Bipartite(20,20) Valencies [19,19] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 4865804016353280000 ET40.131 Bipartite(15,25) Valencies [20,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 600 ET40.132 Bipartite(15,25) Valencies [20,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23219011584000000 ET40.133 Bipartite(20,20) Valencies [20,20] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 11838024362779855370834883379200000000 ET40.134 Bipartite(12,28) Valencies [21,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20069584852746240000 ET40.135 Bipartite(16,24) Valencies [21,14] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17336861982720 ET40.136 Bipartite(19,21) Valencies [21,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6214962790459424069688313774080000000 ET40.137 Bipartite(18,22) Valencies [22,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7196272704742491028060152791040000000 ET40.138 Bipartite(17,23) Valencies [23,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9195237344948738535854639677440000000 ET40.139 Bipartite(8,32) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1014876784652451840000 ET40.140 Bipartite(8,32) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 75497472 ET40.141 Bipartite(10,30) Valencies [24,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 743008370688000000 ET40.142 Bipartite(16,24) Valencies [24,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12981511545809983815324197191680000000 ET40.143 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 3019898880 ET40.144 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 7608405715845120 ET40.145 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1920 ET40.146 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1920 ET40.147 Bipartite(15,25) Valencies [25,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20283611790328099711444058112000000000 ET40.148 Bipartite(14,26) Valencies [26,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 35158260436568706166503034060800000000 ET40.149 Bipartite(4,36) Valencies [27,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 416162911506546032640000 ET40.150 Bipartite(10,30) Valencies [27,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 219419659468800 ET40.151 Bipartite(13,27) Valencies [27,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 67805216556239647606827279974400000000 ET40.152 Non-bipartite Valency 27 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 87091200 ET40.153 Non-bipartite Valency 27 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET40.154 Non-bipartite Valency 27 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET40.155 Bipartite(5,35) Valencies [28,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 390241927692288000000 ET40.156 Bipartite(8,32) Valencies [28,7] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4438236667576320 ET40.157 Bipartite(12,28) Valencies [28,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 146042004890362317922397218406400000000 ET40.158 Non-bipartite Valency 28 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 4838400 ET40.159 Bipartite(11,29) Valencies [29,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 352934845151708934979126611148800000000 ET40.160 Bipartite(10,30) Valencies [30,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 962549577686478913579436212224000000000 ET40.161 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 4161629115065460326400000000 ET40.162 Bipartite(9,31) Valencies [31,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2983903690828084632096252257894400000000 ET40.163 Bipartite(8,32) Valencies [32,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10609435345166523136342230250291200000000 ET40.164 Non-bipartite Valency 32 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 12787447486620893184000000 ET40.165 Bipartite(7,33) Valencies [33,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 43763920798811907937411699782451200000000 ET40.166 Bipartite(6,34) Valencies [34,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 212567615308514981410285398943334400000000 ET40.167 Bipartite(5,35) Valencies [35,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1239977755966337391559998160502784000000000 ET40.168 Non-bipartite Valency 35 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1733686198272000000000 ET40.169 Bipartite(4,36) Valencies [36,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8927839842957629219231986755620044800000000 ET40.170 Non-bipartite Valency 36 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 230078188847156428800 ET40.171 Bipartite(3,37) Valencies [37,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82582518547358070277895877489485414400000000 ET40.172 Bipartite(2,38) Valencies [38,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1046045234933202223520014448200148582400000000 ET40.173 Non-bipartite Valency 38 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 2551082656125828464640000 ET40.174 Bipartite(1,39) Valencies [39,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 20397882081197443358640281739902897356800000000 ET40.175 Non-bipartite Valency 39 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 815915283247897734345611269596115894272000000000 Total number of connected ET graphs of order 40 is 175 ******************************************************************************************** Order 41 ET41.1 Non-bipartite Valency 2 Diameter 20 Girth 41 Twin-free VT AT Automorphism group of order 82 ET41.2 Non-bipartite Valency 4 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 164 ET41.3 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 328 ET41.4 Non-bipartite Valency 10 Diameter 2 Girth 4 Twin-free VT AT Automorphism group of order 410 ET41.5 Non-bipartite Valency 20 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 820 ET41.6 Bipartite(20,21) Valencies [21,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 124299255809188481393766275481600000000 ET41.7 Bipartite(19,22) Valencies [22,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 136729181390107329533142903029760000000 ET41.8 Bipartite(18,23) Valencies [23,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 165514272209077293645383514193920000000 ET41.9 Bipartite(17,24) Valencies [24,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 220685696278769724860511352258560000000 ET41.10 Bipartite(16,25) Valencies [25,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 324537788645249595383104929792000000000 ET41.11 Bipartite(15,26) Valencies [26,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 527373906548530592497545510912000000000 ET41.12 Bipartite(14,27) Valencies [27,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 949273031787355066495581919641600000000 ET41.13 Bipartite(13,28) Valencies [28,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1898546063574710132991163839283200000000 ET41.14 Bipartite(12,29) Valencies [29,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4235218141820507219749519333785600000000 ET41.15 Bipartite(11,30) Valencies [30,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10588045354551268049373798334464000000000 ET41.16 Bipartite(10,31) Valencies [31,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29839036908280846320962522578944000000000 ET41.17 Bipartite(9,32) Valencies [32,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 95484918106498708227080072252620800000000 ET41.18 Bipartite(8,33) Valencies [33,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 350111366390495263499293598259609600000000 ET41.19 Bipartite(7,34) Valencies [34,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1487973307159604869871997792603340800000000 ET41.20 Bipartite(6,35) Valencies [35,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7439866535798024349359988963016704000000000 ET41.21 Bipartite(5,36) Valencies [36,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 44639199214788146096159933778100224000000000 ET41.22 Bipartite(4,37) Valencies [37,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 330330074189432281111583509957941657600000000 ET41.23 Bipartite(3,38) Valencies [38,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3138135704799606670560043344600445747200000000 ET41.24 Bipartite(2,39) Valencies [39,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 40795764162394886717280563479805794713600000000 ET41.25 Bipartite(1,40) Valencies [40,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 815915283247897734345611269596115894272000000000 ET41.26 Non-bipartite Valency 40 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 33452526613163807108170062053440751665152000000000 Total number of connected ET graphs of order 41 is 26 ******************************************************************************************** Order 42 ET42.1 Bipartite(21,21) Valencies [2,2] Diameter 21 Girth 42 Twin-free VT AT Automorphism group of order 84 ET42.2 Bipartite(21,21) Valencies [3,3] Diameter 6 Girth 6 Twin-free VT AT Automorphism group of order 126 ET42.3 Bipartite(14,28) Valencies [4,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 336 ET42.4 Bipartite(14,28) Valencies [4,2] Diameter 7 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 1792 ET42.5 Bipartite(14,28) Valencies [4,2] Diameter 14 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 458752 ET42.6 Bipartite(18,24) Valencies [4,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET42.7 Bipartite(18,24) Valencies [4,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET42.8 Bipartite(21,21) Valencies [4,4] Diameter 7 Girth 4 Twin-free VT AT Automorphism group of order 168 ET42.9 Bipartite(21,21) Valencies [4,4] Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 336 ET42.10 Bipartite(21,21) Valencies [4,4] Diameter 4 Girth 6 Twin-free VT AT Automorphism group of order 672 ET42.11 Non-bipartite Valency 4 Diameter 10 Girth 4 Has twins VT AT Automorphism group of order 88080384 ET42.12 Non-bipartite Valency 4 Diameter 5 Girth 3 Twin-free VT AT Automorphism group of order 336 ET42.13 Bipartite(12,30) Valencies [5,2] Diameter 6 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 120 ET42.14 Bipartite(12,30) Valencies [5,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 1440 ET42.15 Bipartite(21,21) Valencies [5,5] Diameter 3 Girth 6 Twin-free VT AT Automorphism group of order 241920 ET42.16 Bipartite(14,28) Valencies [6,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 1344 ET42.17 Bipartite(21,21) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 252 ET42.18 Bipartite(21,21) Valencies [6,6] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 252 ET42.19 Bipartite(21,21) Valencies [6,6] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2016 ET42.20 Bipartite(21,21) Valencies [6,6] Diameter 7 Girth 4 Has twins VT AT Automorphism group of order 2194196594688 ET42.21 Bipartite(21,21) Valencies [6,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1410877440 ET42.22 Non-bipartite Valency 6 Diameter 3 Girth 5 Twin-free VT AT Automorphism group of order 5040 ET42.23 Bipartite(14,28) Valencies [8,4] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8218956791808 ET42.24 Bipartite(14,28) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5505024 ET42.25 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 864 ET42.26 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 288 ET42.27 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 288 ET42.28 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET42.29 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET42.30 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET42.31 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET42.32 Bipartite(18,24) Valencies [8,6] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 106993205379072 ET42.33 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7044820107264 ET42.34 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9172942848 ET42.35 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 905969664 ET42.36 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 589824 ET42.37 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 589824 ET42.38 Bipartite(18,24) Valencies [8,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 589824 ET42.39 Bipartite(21,21) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 672 ET42.40 Bipartite(21,21) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 672 ET42.41 Bipartite(21,21) Valencies [8,8] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2016 ET42.42 Non-bipartite Valency 8 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 176160768 ET42.43 Non-bipartite Valency 8 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 704643072 ET42.44 Non-bipartite Valency 8 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 672 ET42.45 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 672 ET42.46 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 672 ET42.47 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET42.48 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 672 ET42.49 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 336 ET42.50 Bipartite(21,21) Valencies [9,9] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 26330359136256 ET42.51 Bipartite(7,35) Valencies [10,2] Diameter 7 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5016453120000000 ET42.52 Bipartite(12,30) Valencies [10,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 240 ET42.53 Bipartite(12,30) Valencies [10,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2293235712000000 ET42.54 Bipartite(12,30) Valencies [10,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 143327232000000 ET42.55 Bipartite(12,30) Valencies [10,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1509949440 ET42.56 Bipartite(12,30) Valencies [10,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3932160 ET42.57 Bipartite(21,21) Valencies [10,10] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 10080 ET42.58 Bipartite(21,21) Valencies [10,10] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 10080 ET42.59 Non-bipartite Valency 10 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 10080 ET42.60 Non-bipartite Valency 10 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 10080 ET42.61 Non-bipartite Valency 10 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 10080 ET42.62 Bipartite(6,36) Valencies [12,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1671768834048000000 ET42.63 Bipartite(6,36) Valencies [12,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 190210142896128 ET42.64 Bipartite(6,36) Valencies [12,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 104485552128 ET42.65 Bipartite(14,28) Valencies [12,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET42.66 Bipartite(14,28) Valencies [12,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET42.67 Bipartite(14,28) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98627481501696 ET42.68 Bipartite(14,28) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 192631799808 ET42.69 Bipartite(14,28) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 88080384 ET42.70 Bipartite(14,28) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21504 ET42.71 Bipartite(14,28) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1376256 ET42.72 Bipartite(18,24) Valencies [12,9] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 300918390128640000 ET42.73 Bipartite(18,24) Valencies [12,9] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3761479876608 ET42.74 Bipartite(21,21) Valencies [12,12] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 60480 ET42.75 Bipartite(21,21) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 26330359136256 ET42.76 Non-bipartite Valency 12 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 264241152 ET42.77 Non-bipartite Valency 12 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 1008 ET42.78 Non-bipartite Valency 12 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 1404285820600320000000 ET42.79 Non-bipartite Valency 13 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 2184 ET42.80 Bipartite(21,21) Valencies [14,14] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 196681931556913152000000 ET42.81 Bipartite(7,35) Valencies [15,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 5040 ET42.82 Bipartite(7,35) Valencies [15,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 60197437440000000 ET42.83 Bipartite(12,30) Valencies [15,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 92876046336000000 ET42.84 Bipartite(12,30) Valencies [15,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 232190115840 ET42.85 Bipartite(12,30) Valencies [15,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET42.86 Bipartite(21,21) Valencies [15,15] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1410877440 ET42.87 Bipartite(10,32) Valencies [16,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 3840 ET42.88 Bipartite(10,32) Valencies [16,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 125829120 ET42.89 Bipartite(14,28) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 98627481501696 ET42.90 Bipartite(18,24) Valencies [16,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 146794677780086784000000 ET42.91 Bipartite(18,24) Valencies [16,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7044820107264 ET42.92 Bipartite(18,24) Valencies [16,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 905969664 ET42.93 Bipartite(21,21) Valencies [16,16] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 241920 ET42.94 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 704643072 ET42.95 Non-bipartite Valency 16 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 704643072 ET42.96 Bipartite(6,36) Valencies [18,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 416162911506546032640000 ET42.97 Bipartite(15,27) Valencies [18,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 495432037507792896000000 ET42.98 Bipartite(21,21) Valencies [18,18] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 789910774087680 ET42.99 Bipartite(7,35) Valencies [20,4] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 5040 ET42.100 Bipartite(7,35) Valencies [20,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 60197437440000000 ET42.101 Bipartite(12,30) Valencies [20,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3963456300062343168000000 ET42.102 Bipartite(12,30) Valencies [20,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1509949440 ET42.103 Bipartite(18,24) Valencies [20,15] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6419592322744320 ET42.104 Bipartite(21,21) Valencies [20,20] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 102181884343418880000 ET42.105 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 10569646080 ET42.106 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 10569646080 ET42.107 Bipartite(21,21) Valencies [21,21] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 5220568743985916218538183570227200000000 ET42.108 Bipartite(9,33) Valencies [22,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82427505240359043072000000 ET42.109 Bipartite(20,22) Valencies [22,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2734583627802146590662858060595200000000 ET42.110 Bipartite(19,23) Valencies [23,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3144771171972468579262286769684480000000 ET42.111 Bipartite(6,36) Valencies [24,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5275360335382978756608000000 ET42.112 Bipartite(6,36) Valencies [24,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 190210142896128 ET42.113 Bipartite(14,28) Valencies [24,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2958824445050880 ET42.114 Bipartite(18,24) Valencies [24,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3972342533017855047489204340654080000000 ET42.115 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 63417876480 ET42.116 Non-bipartite Valency 24 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1008 ET42.117 Bipartite(12,30) Valencies [25,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 137594142720000000 ET42.118 Bipartite(17,25) Valencies [25,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5517142406969243121512783806464000000000 ET42.119 Bipartite(3,39) Valencies [26,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1448745832104550541033472000000 ET42.120 Bipartite(14,28) Valencies [26,13] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1428329123020800 ET42.121 Bipartite(16,26) Valencies [26,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8437982504776489479960728174592000000000 ET42.122 Non-bipartite Valency 26 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 523069747200 ET42.123 Bipartite(15,27) Valencies [27,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14239095476810325997433728794624000000000 ET42.124 Bipartite(14,28) Valencies [28,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 26579644890045941861876293749964800000000 ET42.125 Non-bipartite Valency 28 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 3975358563294886684595847168000000 ET42.126 Bipartite(13,29) Valencies [29,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 55057835843666593856743751339212800000000 ET42.127 Bipartite(6,36) Valencies [30,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 100306130042880000000 ET42.128 Bipartite(7,35) Valencies [30,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1805923123200000000 ET42.129 Bipartite(12,30) Valencies [30,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 127056544254615216592485580013568000000000 ET42.130 Non-bipartite Valency 30 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 3628800 ET42.131 Non-bipartite Valency 30 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 5040 ET42.132 Bipartite(11,31) Valencies [31,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 328229405991089309530587748368384000000000 ET42.133 Bipartite(10,32) Valencies [32,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 954849181064987082270800722526208000000000 ET42.134 Bipartite(9,33) Valencies [33,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3151002297514457371493642384336486400000000 ET42.135 Bipartite(8,34) Valencies [34,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11903786457276838958975982340826726400000000 ET42.136 Bipartite(7,35) Valencies [35,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 52079065750586170445519922741116928000000000 ET42.137 Non-bipartite Valency 35 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 11800915893414789120000000 ET42.138 Bipartite(6,36) Valencies [36,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 267835195288728876576959602668601344000000000 ET42.139 Non-bipartite Valency 36 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 505542895416115200000000 ET42.140 Bipartite(5,37) Valencies [37,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1651650370947161405557917549789708288000000000 ET42.141 Bipartite(4,38) Valencies [38,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12552542819198426682240173378401782988800000000 ET42.142 Bipartite(3,39) Valencies [39,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 122387292487184660151841690439417384140800000000 ET42.143 Non-bipartite Valency 39 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 6831653917205672755200 ET42.144 Bipartite(2,40) Valencies [40,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1631830566495795468691222539192231788544000000000 ET42.145 Non-bipartite Valency 40 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 107145471557284795514880000 ET42.146 Bipartite(1,41) Valencies [41,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 33452526613163807108170062053440751665152000000000 ET42.147 Non-bipartite Valency 41 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 1405006117752879898543142606244511569936384000000000 Total number of connected ET graphs of order 42 is 147 ******************************************************************************************** Order 43 ET43.1 Non-bipartite Valency 2 Diameter 21 Girth 43 Twin-free VT AT Automorphism group of order 86 ET43.2 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 258 ET43.3 Non-bipartite Valency 14 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 602 ET43.4 Bipartite(21,22) Valencies [22,21] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 57426256183845078403920019272499200000000 ET43.5 Bipartite(20,23) Valencies [23,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 62895423439449371585245735393689600000000 ET43.6 Bipartite(19,24) Valencies [24,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 75474508127339245902294882472427520000000 ET43.7 Bipartite(18,25) Valencies [25,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 99308563325446376187230108516352000000000 ET43.8 Bipartite(17,26) Valencies [26,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 143445702581200321159332378968064000000000 ET43.9 Bipartite(16,27) Valencies [27,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 227825527628965215958939660713984000000000 ET43.10 Bipartite(15,28) Valencies [28,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 398694673350689127928144406249472000000000 ET43.11 Bipartite(14,29) Valencies [29,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 770809701811332313994412518748979200000000 ET43.12 Bipartite(13,30) Valencies [30,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1651735075309997815702312540176384000000000 ET43.13 Bipartite(12,31) Valencies [31,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3938752871893071714367052980420608000000000 ET43.14 Bipartite(11,32) Valencies [32,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10503340991714857904978807947788288000000000 ET43.15 Bipartite(10,33) Valencies [33,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31510022975144573714936423843364864000000000 ET43.16 Bipartite(9,34) Valencies [34,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 107134078115491550630783841067440537600000000 ET43.17 Bipartite(8,35) Valencies [35,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 416632526004689363564159381928935424000000000 ET43.18 Bipartite(7,36) Valencies [36,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1874846367021102136038717218680209408000000000 ET43.19 Bipartite(6,37) Valencies [37,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 9909902225682968433347505298738249728000000000 ET43.20 Bipartite(5,38) Valencies [38,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 62762714095992133411200866892008914944000000000 ET43.21 Bipartite(4,39) Valencies [39,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 489549169948738640607366761757669536563200000000 ET43.22 Bipartite(3,40) Valencies [40,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4895491699487386406073667617576695365632000000000 ET43.23 Bipartite(2,41) Valencies [41,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 66905053226327614216340124106881503330304000000000 ET43.24 Bipartite(1,42) Valencies [42,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 1405006117752879898543142606244511569936384000000000 ET43.25 Non-bipartite Valency 42 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 60415263063373835637355132068513997507264512000000000 Total number of connected ET graphs of order 43 is 25 ******************************************************************************************** Order 44 ET44.1 Bipartite(22,22) Valencies [2,2] Diameter 22 Girth 44 Twin-free VT AT Automorphism group of order 88 ET44.2 Bipartite(22,22) Valencies [4,4] Diameter 11 Girth 4 Has twins VT AT Automorphism group of order 184549376 ET44.3 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 45056 ET44.4 Bipartite(11,33) Valencies [6,2] Diameter 11 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7981535232 ET44.5 Bipartite(20,24) Valencies [6,5] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 240 ET44.6 Bipartite(20,24) Valencies [6,5] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 491520 ET44.7 Non-bipartite Valency 6 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 528 ET44.8 Bipartite(16,28) Valencies [7,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 112 ET44.9 Bipartite(16,28) Valencies [7,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10321920 ET44.10 Bipartite(12,32) Valencies [8,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1536 ET44.11 Bipartite(12,32) Valencies [8,3] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 192 ET44.12 Bipartite(12,32) Valencies [8,3] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5283615080448 ET44.13 Bipartite(12,32) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37748736 ET44.14 Bipartite(12,32) Valencies [8,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12582912 ET44.15 Non-bipartite Valency 8 Diameter 5 Girth 4 Has twins VT AT Automorphism group of order 33476985149718528 ET44.16 Bipartite(8,36) Valencies [9,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 104485552128 ET44.17 Bipartite(22,22) Valencies [10,10] Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 440 ET44.18 Bipartite(22,22) Valencies [10,10] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5536481280 ET44.19 Bipartite(22,22) Valencies [10,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 225280 ET44.20 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 2880 ET44.21 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 445805022412800000000 ET44.22 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 951050714480640000 ET44.23 Bipartite(20,24) Valencies [12,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11741366845440 ET44.24 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 137594142720 ET44.25 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 503316480 ET44.26 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5898240 ET44.27 Bipartite(20,24) Valencies [12,10] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2949120 ET44.28 Bipartite(22,22) Valencies [12,12] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 5536481280 ET44.29 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 672 ET44.30 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 21504 ET44.31 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 2688 ET44.32 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1712604574101012480000 ET44.33 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5637144576 ET44.34 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 86016 ET44.35 Bipartite(16,28) Valencies [14,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 44040192 ET44.36 Bipartite(11,33) Valencies [15,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 239446056960 ET44.37 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 23040 ET44.38 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 27401673185616199680000 ET44.39 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4059507138609807360000 ET44.40 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 338151365148672 ET44.41 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21134460321792 ET44.42 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 50331648 ET44.43 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 75497472 ET44.44 Bipartite(12,32) Valencies [16,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12582912 ET44.45 Bipartite(8,36) Valencies [18,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1152 ET44.46 Bipartite(8,36) Valencies [18,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2219535528034912174080000 ET44.47 Bipartite(8,36) Valencies [18,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 53496602689536000000 ET44.48 Bipartite(8,36) Valencies [18,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6687075336192000000 ET44.49 Bipartite(8,36) Valencies [18,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 417942208512 ET44.50 Bipartite(11,33) Valencies [18,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 239446056960 ET44.51 Bipartite(20,24) Valencies [18,15] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1337415067238400000000 ET44.52 Bipartite(4,40) Valencies [20,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1387209705021820108800000000 ET44.53 Bipartite(22,22) Valencies [20,20] Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 334846387814400 ET44.54 Bipartite(16,28) Valencies [21,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5137813722303037440000 ET44.55 Bipartite(16,28) Valencies [21,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10321920 ET44.56 Bipartite(22,22) Valencies [21,21] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 2248001455555215360000 ET44.57 Bipartite(22,22) Valencies [22,22] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 2526755272089183449772480847989964800000000 ET44.58 Bipartite(21,23) Valencies [23,21] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1320803892228436803290160443267481600000000 ET44.59 Bipartite(12,32) Valencies [24,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 82205019556848599040000 ET44.60 Bipartite(12,32) Valencies [24,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37748736 ET44.61 Bipartite(20,24) Valencies [24,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1509490162546784918045897649448550400000000 ET44.62 Bipartite(19,25) Valencies [25,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1886862703183481147557372061810688000000000 ET44.63 Bipartite(18,26) Valencies [26,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2582022646461605780867982821425152000000000 ET44.64 Bipartite(8,36) Valencies [27,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6658606584104736522240000 ET44.65 Bipartite(17,27) Valencies [27,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3873033969692408671301974232137728000000000 ET44.66 Bipartite(16,28) Valencies [28,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 6379114773611026046850310499991552000000000 ET44.67 Bipartite(15,29) Valencies [29,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11562145527169984709916187781234688000000000 ET44.68 Bipartite(4,40) Valencies [30,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4161629115065460326400000000 ET44.69 Bipartite(11,33) Valencies [30,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14481697524940800 ET44.70 Bipartite(14,30) Valencies [30,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23124291054339969419832375562469376000000000 ET44.71 Non-bipartite Valency 30 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 958003200 ET44.72 Bipartite(13,31) Valencies [31,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 51203787334609932286771688745467904000000000 ET44.73 Bipartite(12,32) Valencies [32,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 126040091900578294859745695373459456000000000 ET44.74 Bipartite(11,33) Valencies [33,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 346610252726590310864300662277013504000000000 ET44.75 Non-bipartite Valency 33 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 60930411873673404638822400000000 ET44.76 Bipartite(10,34) Valencies [34,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1071340781154915506307838410674405376000000000 ET44.77 Bipartite(9,35) Valencies [35,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3749692734042204272077434437360418816000000000 ET44.78 Bipartite(8,36) Valencies [36,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14998770936168817088309737749441675264000000000 ET44.79 Bipartite(7,37) Valencies [37,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 69369315579780779033432537091167748096000000000 ET44.80 Bipartite(6,38) Valencies [38,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 376576284575952800467205201352053489664000000000 ET44.81 Bipartite(5,39) Valencies [39,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2447745849743693203036833808788347682816000000000 ET44.82 Bipartite(4,40) Valencies [40,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 19581966797949545624294670470306781462528000000000 ET44.83 Non-bipartite Valency 40 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 60740641855649297203200 ET44.84 Bipartite(3,41) Valencies [41,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 200715159678982842649020372320644509990912000000000 ET44.85 Bipartite(2,42) Valencies [42,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2810012235505759797086285212489023139872768000000000 ET44.86 Non-bipartite Valency 42 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 4714400748520531002654720000 ET44.87 Bipartite(1,43) Valencies [43,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 60415263063373835637355132068513997507264512000000000 ET44.88 Non-bipartite Valency 43 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 2658271574788448768043625811014615890319638528000000000 Total number of connected ET graphs of order 44 is 88 ******************************************************************************************** Order 45 ET45.1 Non-bipartite Valency 2 Diameter 22 Girth 45 Twin-free VT AT Automorphism group of order 90 ET45.2 Bipartite(18,27) Valencies [3,2] Diameter 8 Girth 12 Twin-free Non-VT Non-AT Automorphism group of order 216 ET45.3 Bipartite(15,30) Valencies [4,2] Diameter 6 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 120 ET45.4 Bipartite(15,30) Valencies [4,2] Diameter 6 Girth 8 Twin-free Non-VT Non-AT Automorphism group of order 60 ET45.5 Bipartite(15,30) Valencies [4,2] Diameter 15 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 983040 ET45.6 Non-bipartite Valency 4 Diameter 7 Girth 4 Twin-free VT AT Automorphism group of order 180 ET45.7 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 180 ET45.8 Non-bipartite Valency 4 Diameter 5 Girth 4 Twin-free VT AT Automorphism group of order 180 ET45.9 Non-bipartite Valency 4 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET45.10 Bipartite(20,25) Valencies [5,4] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 800 ET45.11 Bipartite(20,25) Valencies [5,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29491200 ET45.12 Bipartite(15,30) Valencies [6,3] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 360 ET45.13 Bipartite(15,30) Valencies [6,3] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7255941120 ET45.14 Bipartite(15,30) Valencies [6,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET45.15 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 432 ET45.16 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 216 ET45.17 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 108 ET45.18 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET45.19 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 216 ET45.20 Bipartite(18,27) Valencies [6,4] Diameter 9 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 92876046336 ET45.21 Bipartite(18,27) Valencies [6,4] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 725594112 ET45.22 Bipartite(18,27) Valencies [6,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 663552 ET45.23 Non-bipartite Valency 6 Diameter 7 Girth 4 Has twins VT AT Automorphism group of order 14105549537280 ET45.24 Non-bipartite Valency 6 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 77760 ET45.25 Non-bipartite Valency 6 Diameter 4 Girth 3 Twin-free VT AT Automorphism group of order 2160 ET45.26 Bipartite(9,36) Valencies [8,2] Diameter 4 Girth 6 Twin-free Non-VT Non-AT Automorphism group of order 362880 ET45.27 Bipartite(9,36) Valencies [8,2] Diameter 9 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 47552535724032 ET45.28 Bipartite(9,36) Valencies [8,2] Diameter 6 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 18874368 ET45.29 Bipartite(15,30) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET45.30 Bipartite(15,30) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET45.31 Bipartite(15,30) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET45.32 Bipartite(15,30) Valencies [8,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 120 ET45.33 Bipartite(15,30) Valencies [8,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11796480 ET45.34 Bipartite(15,30) Valencies [8,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1966080 ET45.35 Bipartite(21,24) Valencies [8,7] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 336 ET45.36 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 720 ET45.37 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 720 ET45.38 Non-bipartite Valency 8 Diameter 4 Girth 4 Twin-free VT AT Automorphism group of order 2160 ET45.39 Non-bipartite Valency 8 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 720 ET45.40 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 720 ET45.41 Non-bipartite Valency 8 Diameter 3 Girth 3 Twin-free VT AT Automorphism group of order 720 ET45.42 Non-bipartite Valency 8 Diameter 2 Girth 4 Twin-free VT AT Automorphism group of order 1440 ET45.43 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 3888 ET45.44 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET45.45 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33853318889472 ET45.46 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 557256278016 ET45.47 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1088391168 ET45.48 Bipartite(18,27) Valencies [9,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 663552 ET45.49 Bipartite(15,30) Valencies [10,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480000000 ET45.50 Bipartite(20,25) Valencies [10,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 28800 ET45.51 Bipartite(20,25) Valencies [10,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 200 ET45.52 Bipartite(20,25) Valencies [10,8] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1981355655168000000 ET45.53 Bipartite(20,25) Valencies [10,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3057647616000000 ET45.54 Bipartite(20,25) Valencies [10,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 204800 ET45.55 Non-bipartite Valency 10 Diameter 4 Girth 4 Has twins VT AT Automorphism group of order 92876046336000000000 ET45.56 Bipartite(9,36) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10030613004288000000 ET45.57 Bipartite(9,36) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 285315214344192 ET45.58 Bipartite(9,36) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 28311552 ET45.59 Bipartite(9,36) Valencies [12,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 940369969152 ET45.60 Bipartite(15,30) Valencies [12,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 360 ET45.61 Bipartite(15,30) Valencies [12,6] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET45.62 Bipartite(15,30) Valencies [12,6] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15045919506432000000 ET45.63 Bipartite(15,30) Valencies [12,6] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 56422198149120 ET45.64 Bipartite(15,30) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 43535646720 ET45.65 Bipartite(15,30) Valencies [12,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET45.66 Bipartite(18,27) Valencies [12,8] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 432 ET45.67 Bipartite(18,27) Valencies [12,8] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 216 ET45.68 Bipartite(18,27) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 371504185344 ET45.69 Bipartite(18,27) Valencies [12,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1451188224 ET45.70 Bipartite(18,27) Valencies [12,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 663552 ET45.71 Non-bipartite Valency 12 Diameter 3 Girth 4 Has twins VT AT Automorphism group of order 28211099074560 ET45.72 Non-bipartite Valency 12 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 77760 ET45.73 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 4320 ET45.74 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 2160 ET45.75 Non-bipartite Valency 12 Diameter 3 Girth 3 Has twins VT AT Automorphism group of order 56422198149120 ET45.76 Non-bipartite Valency 12 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET45.77 Bipartite(10,35) Valencies [14,4] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1040645140512768000000 ET45.78 Bipartite(10,35) Valencies [14,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 390241927692288000000 ET45.79 Bipartite(15,30) Valencies [14,7] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 660602880 ET45.80 Bipartite(20,25) Valencies [15,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 28800 ET45.81 Bipartite(20,25) Valencies [15,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3057647616000000 ET45.82 Bipartite(5,40) Valencies [16,2] Diameter 5 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1065620623885074432000000 ET45.83 Bipartite(5,40) Valencies [16,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7608405715845120 ET45.84 Bipartite(9,36) Valencies [16,4] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 144 ET45.85 Bipartite(9,36) Valencies [16,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 190210142896128 ET45.86 Bipartite(9,36) Valencies [16,4] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37748736 ET45.87 Bipartite(15,30) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 660602880 ET45.88 Bipartite(15,30) Valencies [16,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET45.89 Bipartite(21,24) Valencies [16,14] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 50350574478569766912000000 ET45.90 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 8640 ET45.91 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 4320 ET45.92 Non-bipartite Valency 16 Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 3628800 ET45.93 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET45.94 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 1440 ET45.95 Non-bipartite Valency 16 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 3628800 ET45.96 Bipartite(15,30) Valencies [18,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 56422198149120 ET45.97 Bipartite(15,30) Valencies [18,9] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 43535646720 ET45.98 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 3888 ET45.99 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 1296 ET45.100 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 107013320101683265536000000 ET45.101 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33853318889472 ET45.102 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 557256278016 ET45.103 Bipartite(18,27) Valencies [18,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 663552 ET45.104 Non-bipartite Valency 18 Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 62923832219789760135168000000 ET45.105 Non-bipartite Valency 18 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 338533188894720 ET45.106 Bipartite(15,30) Valencies [20,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 495432037507792896000000000 ET45.107 Bipartite(15,30) Valencies [20,10] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2149908480000000 ET45.108 Bipartite(20,25) Valencies [20,16] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 800 ET45.109 Bipartite(20,25) Valencies [20,16] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23776267862016000000 ET45.110 Bipartite(20,25) Valencies [20,16] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29491200 ET45.111 Non-bipartite Valency 20 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 371504185344000000000 ET45.112 Bipartite(10,35) Valencies [21,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 390241927692288000000 ET45.113 Bipartite(12,33) Valencies [22,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5275360335382978756608000000 ET45.114 Bipartite(22,23) Valencies [23,22] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 29057685629025609672383529751884595200000000 ET45.115 Bipartite(5,40) Valencies [24,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 7608405715845120 ET45.116 Bipartite(9,36) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 142434729055340426428416000000 ET45.117 Bipartite(9,36) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10030613004288000000 ET45.118 Bipartite(9,36) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 285315214344192 ET45.119 Bipartite(9,36) Valencies [24,6] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 940369969152 ET45.120 Bipartite(15,30) Valencies [24,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 180551034077184000000 ET45.121 Bipartite(15,30) Valencies [24,12] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23592960 ET45.122 Bipartite(18,27) Valencies [24,16] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1872381094133760 ET45.123 Bipartite(21,24) Valencies [24,21] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 31699293413482483278963850638419558400000000 ET45.124 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 338533188894720 ET45.125 Non-bipartite Valency 24 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 338533188894720 ET45.126 Bipartite(20,25) Valencies [25,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37737254063669622951147441236213760000000000 ET45.127 Bipartite(6,39) Valencies [26,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11589966656836404328267776000000 ET45.128 Bipartite(19,26) Valencies [26,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49058430282770509836491673607077888000000000 ET45.129 Bipartite(18,27) Valencies [27,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 69714611454463356083435536178479104000000000 ET45.130 Bipartite(3,42) Valencies [28,2] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3975358563294886684595847168000000 ET45.131 Bipartite(9,36) Valencies [28,7] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 362880 ET45.132 Bipartite(10,35) Valencies [28,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12487741686153216000000 ET45.133 Bipartite(15,30) Valencies [28,14] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 42849873690624000 ET45.134 Bipartite(17,28) Valencies [28,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 108444951151387442796455278499856384000000000 ET45.135 Non-bipartite Valency 28 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 7846046208000 ET45.136 Non-bipartite Valency 28 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 3628800 ET45.137 Bipartite(16,29) Valencies [29,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 184994328434719755358659004499755008000000000 ET45.138 Bipartite(15,30) Valencies [30,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 346864365815099541297485633437040640000000000 ET45.139 Non-bipartite Valency 30 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 13416835151120242560510984192000000000 ET45.140 Bipartite(14,31) Valencies [31,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 716853022684539052014803642436550656000000000 ET45.141 Bipartite(5,40) Valencies [32,4] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 12787447486620893184000000 ET45.142 Bipartite(9,36) Valencies [32,8] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 958659120196485120 ET45.143 Bipartite(13,32) Valencies [32,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1638521194707517833176694039854972928000000000 ET45.144 Non-bipartite Valency 32 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 43545600 ET45.145 Non-bipartite Valency 32 Diameter 2 Girth 3 Twin-free VT AT Automorphism group of order 51840 ET45.146 Bipartite(12,33) Valencies [33,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4159323032719083730371607947324162048000000000 ET45.147 Bipartite(11,34) Valencies [34,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 11784748592704070569386222517418459136000000000 ET45.148 Bipartite(10,35) Valencies [35,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37496927340422042720774344373604188160000000000 ET45.149 Bipartite(9,36) Valencies [36,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 134988938425519353794787639744975077376000000000 ET45.150 Non-bipartite Valency 36 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 755085986637477121622016000000 ET45.151 Bipartite(8,37) Valencies [37,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 554954524638246232267460296729341984768000000000 ET45.152 Bipartite(7,38) Valencies [38,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2636033992031669603270436409464374427648000000000 ET45.153 Bipartite(6,39) Valencies [39,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14686475098462159218221002852730086096896000000000 ET45.154 Bipartite(5,40) Valencies [40,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 97909833989747728121473352351533907312640000000000 ET45.155 Non-bipartite Valency 40 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 1872381094133760000000000 ET45.156 Bipartite(4,41) Valencies [41,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 802860638715931370596081489282578039963648000000000 ET45.157 Bipartite(3,42) Valencies [42,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8430036706517279391258855637467069419618304000000000 ET45.158 Non-bipartite Valency 42 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 614848852548510547968000 ET45.159 Bipartite(2,43) Valencies [43,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 120830526126747671274710264137027995014529024000000000 ET45.160 Bipartite(1,44) Valencies [44,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 2658271574788448768043625811014615890319638528000000000 ET45.161 Non-bipartite Valency 44 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 119622220865480194561963161495657715064383733760000000000 Total number of connected ET graphs of order 45 is 161 ******************************************************************************************** Order 46 ET46.1 Bipartite(23,23) Valencies [2,2] Diameter 23 Girth 46 Twin-free VT AT Automorphism group of order 92 ET46.2 Non-bipartite Valency 4 Diameter 11 Girth 4 Has twins VT AT Automorphism group of order 385875968 ET46.3 Bipartite(23,23) Valencies [11,11] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 506 ET46.4 Bipartite(22,24) Valencies [12,11] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 15840 ET46.5 Bipartite(22,24) Valencies [12,11] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 32440320 ET46.6 Bipartite(18,28) Valencies [14,9] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 722505054698864640000 ET46.7 Bipartite(16,30) Valencies [15,8] Diameter 4 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 322560 ET46.8 Bipartite(16,30) Valencies [15,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 23776267862016000000 ET46.9 Bipartite(16,30) Valencies [15,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 36691771392000000 ET46.10 Bipartite(16,30) Valencies [15,8] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 116095057920 ET46.11 Bipartite(14,32) Valencies [16,7] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 147941222252544 ET46.12 Bipartite(14,32) Valencies [16,7] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 176160768 ET46.13 Bipartite(10,36) Valencies [18,5] Diameter 3 Girth 4 Twin-free Non-VT Non-AT Automorphism group of order 720 ET46.14 Bipartite(10,36) Valencies [18,5] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 8358844170240000000 ET46.15 Bipartite(10,36) Valencies [18,5] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 261213880320 ET46.16 Bipartite(6,40) Valencies [20,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4161629115065460326400000000 ET46.17 Bipartite(6,40) Valencies [20,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 2063912140800000000 ET46.18 Bipartite(6,40) Valencies [20,3] Diameter 3 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3804202857922560 ET46.19 Bipartite(6,40) Valencies [20,3] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 754974720 ET46.20 Bipartite(4,42) Valencies [21,2] Diameter 4 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 393363863113826304000000 ET46.21 Bipartite(23,23) Valencies [22,22] Diameter 3 Girth 4 Twin-free VT AT Automorphism group of order 51704033477769953280000 ET46.22 Bipartite(23,23) Valencies [23,23] Diameter 2 Girth 4 Has twins VT AT Automorphism group of order 1336653538935178044929642368586691379200000000 ET46.23 Bipartite(22,24) Valencies [24,22] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 697384455096614632137204714045230284800000000 ET46.24 Bipartite(21,25) Valencies [25,21] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 792482335337062081974096265960488960000000000 ET46.25 Bipartite(20,26) Valencies [26,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 981168605655410196729833472141557760000000000 ET46.26 Bipartite(19,27) Valencies [27,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1324577617634803765585275187391102976000000000 ET46.27 Bipartite(18,28) Valencies [28,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1952009120724973970336195012997414912000000000 ET46.28 Bipartite(17,29) Valencies [29,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 3144903583390235841097203076495835136000000000 ET46.29 Bipartite(16,30) Valencies [30,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5549829853041592660759770134992650240000000000 ET46.30 Bipartite(15,31) Valencies [31,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 10752795340268085780222054636548259840000000000 ET46.31 Bipartite(14,32) Valencies [32,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 22939296725905249664473716557969620992000000000 ET46.32 Bipartite(13,33) Valencies [33,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 54071199425348088494830903315214106624000000000 ET46.33 Bipartite(12,34) Valencies [34,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 141416983112448846832634670209021509632000000000 ET46.34 Bipartite(11,35) Valencies [35,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 412466200744642469928517788109646069760000000000 ET46.35 Bipartite(10,36) Valencies [36,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1349889384255193537947876397449750773760000000000 ET46.36 Bipartite(9,37) Valencies [37,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4994590721744216090407142670564077862912000000000 ET46.37 Bipartite(8,38) Valencies [38,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 21088271936253356826163491275714995421184000000000 ET46.38 Bipartite(7,39) Valencies [39,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 102805325689235114527547019969110602678272000000000 ET46.39 Bipartite(6,40) Valencies [40,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 587459003938486368728840114109203443875840000000000 ET46.40 Bipartite(5,41) Valencies [41,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4014303193579656852980407446412890199818240000000000 ET46.41 Bipartite(4,42) Valencies [42,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 33720146826069117565035422549868277678473216000000000 ET46.42 Bipartite(3,43) Valencies [43,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 362491578380243013824130792411083985043587072000000000 ET46.43 Bipartite(2,44) Valencies [44,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 5316543149576897536087251622029231780639277056000000000 ET46.44 Non-bipartite Valency 44 Diameter 2 Girth 3 Has twins VT AT Automorphism group of order 216862434431944426122117120000 ET46.45 Bipartite(1,45) Valencies [45,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 119622220865480194561963161495657715064383733760000000000 ET46.46 Non-bipartite Valency 45 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 5502622159812088949850305428800254892961651752960000000000 Total number of connected ET graphs of order 46 is 46 ******************************************************************************************** Order 47 ET47.1 Non-bipartite Valency 2 Diameter 23 Girth 47 Twin-free VT AT Automorphism group of order 94 ET47.2 Bipartite(23,24) Valencies [24,23] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 16039842467222136539155708423040296550400000000 ET47.3 Bipartite(22,25) Valencies [25,22] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 17434611377415365803430117851130757120000000000 ET47.4 Bipartite(21,26) Valencies [26,21] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 20604540718763614131326502914972712960000000000 ET47.5 Bipartite(20,27) Valencies [27,20] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 26491552352696075311705503747822059520000000000 ET47.6 Bipartite(19,28) Valencies [28,19] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 37088173293774505436387705246950883328000000000 ET47.7 Bipartite(18,29) Valencies [29,18] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 56608264501024245139749655376925032448000000000 ET47.8 Bipartite(17,30) Valencies [30,17] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 94347107501707075232916092294875054080000000000 ET47.9 Bipartite(16,31) Valencies [31,16] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 172044725444289372483552874184772157440000000000 ET47.10 Bipartite(15,32) Valencies [32,15] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 344089450888578744967105748369544314880000000000 ET47.11 Bipartite(14,33) Valencies [33,14] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 756996791954873238927632646412997492736000000000 ET47.12 Bipartite(13,34) Valencies [34,13] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1838420780461835008824250712717279625216000000000 ET47.13 Bipartite(12,35) Valencies [35,12] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4949594408935709639142213457315752837120000000000 ET47.14 Bipartite(11,36) Valencies [36,11] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 14848783226807128917426640371947258511360000000000 ET47.15 Bipartite(10,37) Valencies [37,10] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 49945907217442160904071426705640778629120000000000 ET47.16 Bipartite(9,38) Valencies [38,9] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 189794447426280211435471421481434958790656000000000 ET47.17 Bipartite(8,39) Valencies [39,8] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 822442605513880916220376159752884821426176000000000 ET47.18 Bipartite(7,40) Valencies [40,7] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 4112213027569404581101880798764424107130880000000000 ET47.19 Bipartite(6,41) Valencies [41,6] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 24085819161477941117882444678477341198909440000000000 ET47.20 Bipartite(5,42) Valencies [42,5] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 168600734130345587825177112749341388392366080000000000 ET47.21 Bipartite(4,43) Valencies [43,4] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 1449966313520972055296523169644335940174348288000000000 ET47.22 Bipartite(3,44) Valencies [44,3] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 15949629448730692608261754866087695341917831168000000000 ET47.23 Bipartite(2,45) Valencies [45,2] Diameter 2 Girth 4 Has twins Non-VT Non-AT Automorphism group of order 239244441730960389123926322991315430128767467520000000000 ET47.24 Bipartite(1,46) Valencies [46,1] Diameter 2 No cycles Has twins Non-VT Non-AT Automorphism group of order 5502622159812088949850305428800254892961651752960000000000 ET47.25 Non-bipartite Valency 46 Diameter 1 Girth 3 Twin-free VT AT Automorphism group of order 258623241511168180642964355153611979969197632389120000000000 Total number of connected ET graphs of order 47 is 25 ******************************************************************************************** Total number of connected ET graphs listed above = 1894 ********************************************************************************************