English

Unit distance graphs and algebraic integers

Combinatorics 2018-07-11 v1 Metric Geometry Number Theory

Abstract

We answer a question of Brass about vertex degrees in unit distance graphs of finitely generated additive subgroups of R2\mathbb{R}^2.

Keywords

Cite

@article{arxiv.1807.03726,
  title  = {Unit distance graphs and algebraic integers},
  author = {Danylo Radchenko},
  journal= {arXiv preprint arXiv:1807.03726},
  year   = {2018}
}
R2 v1 2026-06-23T02:56:37.714Z