List colouring triangle free planar graphs

Fuente: arXiv
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Hauptverfasser: Hu, Jianzhang, Zhu, Xuding
Format: Preprint
Veröffentlicht: 2019
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author Hu, Jianzhang
Zhu, Xuding
author_facet Hu, Jianzhang
Zhu, Xuding
contents This paper proves the following result: Assume $G$ is a triangle free planar graph, $X$ is an independent set of $G$. If $L$ is a list assignment of $G$ such that $\mid L(v)\mid = 4$ for each vertex $v \in V(G)-X$ and $\mid L(v)\mid = 3$ for each vertex $v \in X$, then $G$ is $L$-colourable.
format Preprint
id arxiv_https___arxiv_org_abs_1910_12480
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle List colouring triangle free planar graphs
Hu, Jianzhang
Zhu, Xuding
Combinatorics
This paper proves the following result: Assume $G$ is a triangle free planar graph, $X$ is an independent set of $G$. If $L$ is a list assignment of $G$ such that $\mid L(v)\mid = 4$ for each vertex $v \in V(G)-X$ and $\mid L(v)\mid = 3$ for each vertex $v \in X$, then $G$ is $L$-colourable.
title List colouring triangle free planar graphs
topic Combinatorics
url https://arxiv.org/abs/1910.12480