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Equally spaced collinear points in Euclidean Ramsey theory. (arXiv:1705.04640v2 [math.CO] UPDATED)
来源于:arXiv
It is proved that for $k\geq 4$, if the points of $k$-dimensional Euclidean
space are coloured in red and blue, then there are either two red points
distance one apart or $k+3$ blue collinear points with distance one between any
two consecutive points. This result is new for $4\leq k\leq 10$. 查看全文>>