A $6$-chromatic two-distance graph in the plane
Combinatorics
2019-10-01 v1
Abstract
We prove that if one colors each point of the Euclidean plane with one of five colors, then there exist two points of the same color that are either distance or distance apart.
Cite
@article{arxiv.1909.13177,
title = {A $6$-chromatic two-distance graph in the plane},
author = {Geoffrey Exoo and Dan Ismailescu},
journal= {arXiv preprint arXiv:1909.13177},
year = {2019}
}
Comments
7 pages, 1 figure