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Bounding the Size of an Almost-Equidistant Set in Euclidean Space

Author:
Kupavskii, Andrey  Mustafa, Nabil H.  Swanepoel, Konrad J.  


Journal:
COMBINATORICS PROBABILITY & COMPUTING


Issue Date:
2019


Abstract(summary):

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 R-d has cardinality O(d(4/3)).


Page:
280---286


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