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arXiv · 2207.03869

List-Edge-Coloring with Bounded Maximum Degree

Joshua Harrelson
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Abstract

For a graph $G$, we show that if $mad(G)<m$, then $χ'_\ell(G)\leq Δ+1$ where $m$ depends upon $Δ$ and $χ'_\ell(G)$ is the list-chromatic index of $G$. When $Δ\leq 20$ the value of $m$ is close to $\frac{1}{2}Δ$, but as $Δ$ increases $m$ becomes asymptotic to about $\frac{1}{4}Δ+5$.

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Joshua Harrelson. 2023-05-04. List-Edge-Coloring with Bounded Maximum Degree. https://arxiv.org/abs/2207.03869

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