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arXiv · 2103.02757

Coloring the distance graph in three dimensions

Jindrich Zapletal
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Abstract

Let Gn be the graph on n-dimensional Euclidean space connecting points of rational Euclidean distance. It is consistent relative to an inaccessible cardinal that ZF+DC holds and G3 has countable chromatic number, yet G4 has uncountable chromatic number.

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Jindrich Zapletal. 2021-03-03. Coloring the distance graph in three dimensions. https://arxiv.org/abs/2103.02757

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