English

Unit Distance Problems

Classical Analysis and ODEs 2012-10-01 v1

Abstract

We study some discrete and continuous variants of the following problem of Erdos: given a finite subset P of R^2 or R^3, what is the maximum number of pairs (p_1,p_2) with p_1,p_2 in P and |p_1 -p_2 |=1?

Keywords

Cite

@article{arxiv.1209.6537,
  title  = {Unit Distance Problems},
  author = {Daniel Oberlin and Richard Oberlin},
  journal= {arXiv preprint arXiv:1209.6537},
  year   = {2012}
}
R2 v1 2026-06-21T22:12:50.034Z