English

Note on the number of proper colorings of a graph

Combinatorics 2007-05-23 v1 Number Theory

Abstract

We present a simpler proof of a bound on the number of proper colorings of a graph that was obtained recently by Liu and Murty using Tur'an sieve (in fact, we prove a stronger inequality). We also point out that these results are subsumed in a stronger result due to Lazebnik in 1990.

Keywords

Cite

@article{arxiv.math/0609179,
  title  = {Note on the number of proper colorings of a graph},
  author = {Martin Klazar},
  journal= {arXiv preprint arXiv:math/0609179},
  year   = {2007}
}

Comments

3 pages. Not to be submitted!