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arXiv · 2208.11263

A note on the edge choosability of $K_{5}$-minor free graphs

Jieru Feng·Jianliang Wu·Fan Yang
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Abstract

For a planar graph $G$, Borodin stated that $G$ is $(Δ+1)$-edge-choosable if $Δ\geq9$ and later Bonamy showed that $G$ is $9$-edge-choosable if $Δ=8$. At the same time, Borodin et al. proved that $G$ is $Δ$-edge-choosable if $Δ\geq12$. In the paper, we extend these results to $K_5$-minor free graphs.

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Jieru Feng, Jianliang Wu, Fan Yang. 2022-08-24. A note on the edge choosability of $K_{5}$-minor free graphs. https://arxiv.org/abs/2208.11263

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