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arXiv · 1904.06662

Proof of the List Coloring Conjecture for line perfect multigraphs

Alexey Gordeev
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Abstract

We prove that for a line perfect multigraph the chromatic index is equal to the list chromatic index. This is a generalization of Galvin's result on bipartite multigraphs. Soon after the first version was submitted to arxiv, I found out that the same result has already been achieved in an older paper by Peterson and Woodall, by a similar but not entirely the same method.

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Alexey Gordeev. 2019-09-05. Proof of the List Coloring Conjecture for line perfect multigraphs. https://arxiv.org/abs/1904.06662

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