Title: Bounding the size of an almost-equidistant set in Euclidean space,
Abstract: 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 $O(d^{4/3})$.