Counterexamples to Hedetniemi's conjecture
By Yaroslav N. Shitov. Annals of Mathematics, 2019
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The chromatic number of $G\times H$ can be smaller than the minimum of the chromatic numbers of finite simple graphs $G$ and $H$.
Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/3d9611638686d7ca8c6f6739b3e1efc62bf8593b