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The chromatic number of the Minkowski plane -- the regular polygon case

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Publication:5164114

zbMATH Open1477.05182arXiv2108.12861MaRDI QIDQ5164114

Author name not available (Why is that?)

Publication date: 9 November 2021

Abstract: The Hadwiger-Nelson problem asks for the minimum number of colors, so that each point of the plane can be assigned a single color with the property that no two points unit-distance apart are identically colored. It is now known that the answer is 5, 6, or 7, Here we consider the problem in the context of Minkowski planes, where the unit circle is a regular polygon with 8, 10, or 12 vertices. We prove that in each of these cases, one also needs at least five colors.


Full work available at URL: https://arxiv.org/abs/2108.12861




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