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A Proof of the Chen--Raspaud Conjecture

Year: 2026
Type: preprint
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.
Open Access status: green
OpenAlex ID: W7203708848
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