A Euclidean Ramsey result in the plane
Combinatorics
2017-04-05 v2 Metric Geometry
Abstract
An old question in Euclidean Ramsey theory asks, if the points in the plane are red-blue coloured, does there always exist a red pair of points at unit distance or five blue points in line separated by unit distances? An elementary proof answers this question in affirmative.
Cite
@article{arxiv.1703.10723,
title = {A Euclidean Ramsey result in the plane},
author = {Sergei Tsaturian},
journal= {arXiv preprint arXiv:1703.10723},
year = {2017}
}