English

Counterexamples to Hedetniemi's conjecture

Combinatorics 2019-06-17 v2

Abstract

The chromatic number of G×HG\times H can be smaller than the minimum of the chromatic numbers of finite simple graphs GG and HH.

Cite

@article{arxiv.1905.02167,
  title  = {Counterexamples to Hedetniemi's conjecture},
  author = {Yaroslav Shitov},
  journal= {arXiv preprint arXiv:1905.02167},
  year   = {2019}
}

Comments

3 pages, minor corrections, a version accepted for publication

R2 v1 2026-06-23T08:58:24.510Z