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