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Bounding the size of an almost-equidistant set in Euclidean space. (arXiv:1708.01590v1 [math.CO])

A set of points in d-dimensional Euclidean space is almost equidistant if among any three points of the set, some two are at distance 1. We show that an almost-equidistant set in $\mathbb{R}^d$ has cardinality $O(d^{4/3})$.查看全文

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