On distinct distances in homogeneous sets in the Euclidean space
Combinatorics
2013-12-17 v4
Abstract
A homogeneous set of points in the -dimensional Euclidean space determines at least distinct distances for a constant . In three-space, we slightly improve our general bound and show that a homogeneous set of points determines at least distinct distances.
Cite
@article{arxiv.math/0503443,
title = {On distinct distances in homogeneous sets in the Euclidean space},
author = {J. Solymosi and Cs. D. Toth},
journal= {arXiv preprint arXiv:math/0503443},
year = {2013}
}