English

Chromatic numbers of spheres

Combinatorics 2018-11-12 v2 Metric Geometry

Abstract

The chromatic number of a subset of Euclidean space is the minimal number of colors sufficient for coloring all points of this subset in such a way that any two points at the distance 1 have different colors. We give new upper bounds for chromatic numbers of spheres.

Keywords

Cite

@article{arxiv.1711.03193,
  title  = {Chromatic numbers of spheres},
  author = {Roman Prosanov},
  journal= {arXiv preprint arXiv:1711.03193},
  year   = {2018}
}