Bounding the size of an almost-equidistant set in Euclidean space
Combinatorics
2019-03-27 v1 Discrete Mathematics
Metric Geometry
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 has cardinality .
Cite
@article{arxiv.1708.01590,
title = {Bounding the size of an almost-equidistant set in Euclidean space},
author = {Andrey Kupavskii and Nabil H. Mustafa and Konrad J. Swanepoel},
journal= {arXiv preprint arXiv:1708.01590},
year = {2019}
}
Comments
6 pages