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Multiple list colouring triangle-free planar graphs

2018/09/11 by Yiting Jiang, Jiang, Yiting, Xuding Zhu +1
Computer Science · #Advanced Graph Theory Research #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1809.03665

openalex publication_date 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proves that for each positive integer m, there is a triangle-free planar graph G which is not (3m+ \lceil \frac m17 \rceil-1, m)-choosable.

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