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A note on the edge choosability of $K_{5}$-minor free graphs
Jieru Feng, Jianliang Wu, Fan Yang · 2022-08-24 · via math.CO updates on arXiv.org

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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