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arXiv · 1303.1277

Answers to some problems about graph coloring test graphs

Takahiro Matsushita
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Abstract

We prove that a graph whose chromatic number is 2 is a homotopy test graph. We also prove that there is a graph $K$ with two involutions $γ_1$ and $γ_2$ such that $(K,γ_1)$ is a Stiefel-Whitney test graph, but $(K,γ_2)$ is not. These are answers to some of the problems suggested by Kozlov.

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Takahiro Matsushita. 2017-07-29. Answers to some problems about graph coloring test graphs. https://arxiv.org/abs/1303.1277

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