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Vizing's Theorem in Near-Linear Time. Sepehr Assadi, Soheil Behnezhad, Sayan Bhattacharya, Martin Costa, Shay Solomon, Tianyi Zhang.

(Δ+1)-edge colorings in degree-Δ graphs in time O(m log Δ): enough said. arxiv.org/abs/2410.05240

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Vizing's Theorem in Near-Linear Time
Vizing's theorem states that any $n$-vertex $m$-edge graph of maximum degree $Δ$ can be edge colored using at most $Δ+ 1$ different colors [Vizing, 1964]. Vizing's original proof is algorithmic and sh...
arxiv.org
February 7, 2025 at 11:09 PM