English

Results and Problems on Equitable Coloring of Graphs

Combinatorics 2025-04-22 v1

Abstract

A proper coloring of vertices of a graph is equitable if the sizes of any two color classes differ by at most 1. Such colorings have many applications and are interesting by themselves. In this paper, we discuss the state of art and unsolved problems on equitable coloring and its list versions.

Keywords

Cite

@article{arxiv.2504.14711,
  title  = {Results and Problems on Equitable Coloring of Graphs},
  author = {H. A. Kierstead and Alexandr Kostochka and Zimu Xiang},
  journal= {arXiv preprint arXiv:2504.14711},
  year   = {2025}
}
R2 v1 2026-06-28T23:04:54.042Z