A result in asymmetric Euclidean Ramsey theory

Andrii Arman, Sergei Tsaturian

Research output: Contribution to journalArticleResearchpeer-review

Abstract

It is proved that if the points of the three-dimensional Euclidean space are coloured with red and blue, then there exist either two red points at unit distance, or six collinear blue points with distance one between any two consecutive points.

Original languageEnglish
Pages (from-to)1502-1508
Number of pages7
JournalDiscrete Mathematics
Volume341
Issue number5
DOIs
Publication statusPublished - 1 May 2018
Externally publishedYes

Keywords

  • Discrete geometry
  • Euclidean Ramsey
  • Ramsey

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