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 language | English |
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Pages (from-to) | 1502-1508 |
Number of pages | 7 |
Journal | Discrete Mathematics |
Volume | 341 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 May 2018 |
Externally published | Yes |
Keywords
- Discrete geometry
- Euclidean Ramsey
- Ramsey