Progressions in Euclidean Ramsey theory
Combinatorics
2024-12-17 v2
Abstract
Conlon and Wu showed that there is a red/blue-coloring of that does not contain red collinear points separated by unit distance and blue collinear points separated by unit distance. We prove that the statement holds with . We show similar results with different distances between the points.
Keywords
Cite
@article{arxiv.2402.12567,
title = {Progressions in Euclidean Ramsey theory},
author = {Jakob Führer and Géza Tóth},
journal= {arXiv preprint arXiv:2402.12567},
year = {2024}
}