Bounding the size of an almost-equidistant set in Euclidean space
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cs.DMmath.MG
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almost-equidistanteuclideanpointsspacealmostboundingcardinalityd-dimensional
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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 $O(d^{4/3})$.
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