Martin Bachraty

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Doctoral Candidate - Doctor of Philosophy

Research | Current

Thesis title

Symmetries of maps and related structures

Postgraduate supervision

Main Supervisor

Gabriel Verret

Co-Supervisor

Marston Conder

Areas of expertise

Degree diameter problem

Skew morphisms of finite groups

Regular maps

Selected publications and creative works (Research Outputs)

  • Bachratý M, Šiagiová J, & Širáň J (2018). Asymptotically approaching the Moore bound for diameter three by Cayley graphs. Journal of Combinatorial Theory, Series B10.1016/j.jctb.2018.06.003
  • BACHRATÝ MARTIN, ŠIAGIOVÁ JANA, & ŠIRÁŇ JOZEF (2017). Revisiting Constructions of Large Cayley Graphs of Given Degree and Diameter from Regular Orbits. Journal of Interconnection Networks, 17 (03n04), 1741011-1741011. 10.1142/S0219265917410110
  • Bachratý M, & Jajcay, R. (2017). Classification of coset-preserving skew-morphisms of finite cyclic groups. Australasian Journal of Combinatorics, 67 (2), 259-280.
  • Bachratý M, & Jajcay, R. (2016). Powers of skew-morphisms. (pp. 1-25). 10.1007/978-3-319-30451-9_1
  • Bachraty, M., & Siran, J. (2015). Polarity graphs revisited. ARS MATHEMATICA CONTEMPORANEA, 8 (1), 55-67.