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arXiv · 1310.5493

Brooks' theorem on powers of graphs

Marthe Bonamy·Nicolas Bousquet
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Abstract

We prove that for $k\geq 3$, the bound given by Brooks' theorem on the chromatic number of $k$-th powers of graphs of maximum degree $Δ\geq 3$ can be lowered by 1, even in the case of online list coloring.

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Marthe Bonamy, Nicolas Bousquet. 2013-10-21. Brooks' theorem on powers of graphs. https://arxiv.org/abs/1310.5493

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