On almost-equidistant sets
Metric Geometry
2019-04-18 v3 Combinatorics
Abstract
A finite set of points in is called almost-equidistant if among any three distinct points in the set, some two are at unit distance. We prove that an almost-equidistant set in has cardinality at most .
Keywords
Cite
@article{arxiv.1707.00295,
title = {On almost-equidistant sets},
author = {Alexandr Polyanskii},
journal= {arXiv preprint arXiv:1707.00295},
year = {2019}
}
Comments
v3: 8 pages, minor corrections. Key words: equilateral sets, almost-equidistant sets, unit distance graph