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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Những tác giả chính: Conlon, D, Fox, J
Định dạng: Journal article
Được phát hành: Springer US 2018