English

A small 6-chromatic two-distance graph in the plane

Combinatorics 2023-03-28 v2

Abstract

We give a new, simple proof for the lower bound of the chromatic number of the Euclidean plane with two forbidden distances, based on a graph with only 16 vertices.

Keywords

Cite

@article{arxiv.2010.12656,
  title  = {A small 6-chromatic two-distance graph in the plane},
  author = {Jaan Parts},
  journal= {arXiv preprint arXiv:2010.12656},
  year   = {2023}
}
R2 v1 2026-06-23T19:36:19.015Z