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A result in asymmetric Euclidean Ramsey theory
Authors:Andrii Arman  Sergei Tsaturian
Affiliation:University of Manitoba, Canada
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.
Keywords:Euclidean Ramsey  Ramsey  Discrete geometry
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