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arxiv: 1205.3253 · v5 · pith:XSKNDE7Inew · submitted 2012-05-15 · 🧮 math.CO

A different short proof of Brooks' theorem

classification 🧮 math.CO
keywords proofshortbrookscoloringdifferenttheoremcasecubic
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Lov\'asz gave a short proof of Brooks' theorem by coloring greedily in a good order. We give a different short proof by reducing to the cubic case. Then we show how to extend the result to (online) list coloring via the Kernel Lemma.

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