Lines in Euclidean Ramsey theory
Let ℓm be a sequence of m points on a line with consecutive points of distance one. For every natural number n, we prove the existence of a red/blue-coloring of En containing no red copy of ℓ2 and no blue copy of ℓm for any m≥2cn . This is best possible up to the constant c in the expo...
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| Format: | Journal article |
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Springer US
2018
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