A new proof of the girth-chromatic number theorem

Simon Marshall

Abstract

We give a new proof of the classical Erdos theorem on the existence of graphs with arbitrarily high chromatic number and girth. Rather than considering random graphs where the edges are chosen with some carefully adjusted probability, we use a simple counting argument on a set of graphs with bounded degree.

Keywords
girth, chromatic number

Math Review Classification
Primary 05C99

Last Updated
22/12/2004

Length
4 pages

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