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arXiv · 2608.15257

A Proof of the Chen--Raspaud Conjecture

Qi Wu·Yong Lu
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Abstract

For every integer $k\ge2$, Chen and Raspaud conjectured that each graph $G$ with odd girth $\og(G)\ge2k+1$ and maximum average degree $\mad(G)<2+1/k$ has a $(2k+1:k)$-coloring. In this paper, we prove the conjecture.

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Qi Wu, Yong Lu. 2026-08-15. A Proof of the Chen--Raspaud Conjecture. https://arxiv.org/abs/2608.15257

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