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arXiv · 1805.11176

A short proof of Brooks' theorem

Mariusz Zając
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Abstract

We give a simple short proof of Brooks' theorem using only induction and greedy coloring, while avoiding issues of graph connectivity. The argument generalizes easily to some extensions of Brooks' theorem, including its variants for list coloring, signed graphs coloring and correspondence coloring.

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Mariusz Zając. 2018-05-28. A short proof of Brooks' theorem. https://arxiv.org/abs/1805.11176

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