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arXiv · 2310.07214

Borodin-Kostochka Conjecture holds for odd-hole-free graphs

Rong Chen·Kaiyang Lan·Xinheng Lin·Yidong Zhou
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Abstract

The Borodin-Kostochka Conjecture states that for a graph $G$, if $Δ(G)\geq 9$, then $χ(G)\leq\max\{Δ(G)-1,ω(G)\}$. In this paper, we prove the Borodin-Kostochka Conjecture holding for odd-hole-free graphs.

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Rong Chen, Kaiyang Lan, Xinheng Lin, Yidong Zhou. 2023-10-11. Borodin-Kostochka Conjecture holds for odd-hole-free graphs. https://arxiv.org/abs/2310.07214

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