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arXiv · 1110.2650

Every triangle-free induced subgraph of the triangular lattice is $(5m,2m)$-choosable

Yves Aubry·Jean-Christophe Godin·Olivier Togni
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Abstract

A graph $G$ is $(a,b)$-choosable if for any color list of size $a$ associated with each vertex, one can choose a subset of $b$ colors such that adjacent vertices are colored with disjoint color sets. This paper proves that for any integer $m\ge 1$, every finite triangle-free induced subgraph of the triangular lattice is $(5m,2m)$-choosable.

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Yves Aubry, Jean-Christophe Godin, Olivier Togni. 2011-10-12. Every triangle-free induced subgraph of the triangular lattice is $(5m,2m)$-choosable. https://arxiv.org/abs/1110.2650

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