English

Hedetniemi's conjecture for uncountable graphs

Combinatorics 2013-07-26 v1 Logic

Abstract

It is proved that in Godel's constructible universe, for every infinite successor cardinal k, there exist graphs G and H of size and chromatic number k, for which the tensor product graph (G x H) is countably chromatic.

Keywords

Cite

@article{arxiv.1307.6841,
  title  = {Hedetniemi's conjecture for uncountable graphs},
  author = {Assaf Rinot},
  journal= {arXiv preprint arXiv:1307.6841},
  year   = {2013}
}

Comments

http://www.assafrinot.com/paper/16

R2 v1 2026-06-22T00:58:00.519Z