A Euclidean Ramsey Result in the Plane

  • Sergei Tsaturian
DOI: https://doi.org/10.37236/7148
Keywords: Euclidean Ramsey theory, Plane, Combinatorial 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 the affirmative.

Published
2017-11-24
How to Cite
Tsaturian, S. (2017). A Euclidean Ramsey Result in the Plane. The Electronic Journal of Combinatorics, 24(4), P4.35. https://doi.org/10.37236/7148
Issue
Volume 24, Issue 4 (2017)
Article Number
P4.35