On the chromatic number of 2-dimensional spheres
Combinatorics
2022-10-04 v2
Abstract
In 1976 Simmons conjectured that every coloring of a 2-dimensional sphere of radius strictly greater than in three colors has a couple of monochromatic points at the distance 1 apart. We prove this conjecture.
Cite
@article{arxiv.2203.08666,
title = {On the chromatic number of 2-dimensional spheres},
author = {Danila Cherkashin and Vsevolod Voronov},
journal= {arXiv preprint arXiv:2203.08666},
year = {2022}
}
Comments
8p