English

A 6-chromatic odd-distance graph in the plane

Combinatorics 2022-06-28 v1

Abstract

Two vertices of an odd-distance graph are connected by an edge if and only if their Euclidean distance is an odd integer. We construct a 6-chromatic odd-distance graph in the plane.

Keywords

Cite

@article{arxiv.2206.12632,
  title  = {A 6-chromatic odd-distance graph in the plane},
  author = {Jaan Parts},
  journal= {arXiv preprint arXiv:2206.12632},
  year   = {2022}
}
R2 v1 2026-06-24T12:03:49.979Z