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arXiv:2310.07214 [math.CO]AbstractReferencesReviewsResources

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

Rong Chen, Kaiyang Lan, Xinheng Lin, Yidong Zhou

Published 2023-10-11Version 1

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

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