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arXiv · 1701.07217

Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes

Maria Chudnovsky·Alex Scott·Paul Seymour·Sophie Spirkl
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Abstract

We prove a conjecture of Andras Gyarfas, that for all k,t, every graph with clique number at most k and sufficiently large chromatic number has an odd hole of length at least t.

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Maria Chudnovsky, Alex Scott, Paul Seymour, Sophie Spirkl. 2019-04-28. Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes. https://arxiv.org/abs/1701.07217

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