English

A short proof of Brooks' theorem

Combinatorics 2018-05-30 v1

Abstract

We give a simple short proof of Brooks' theorem using only induction and greedy coloring, while avoiding issues of graph connectivity. The argument generalizes easily to some extensions of Brooks' theorem, including its variants for list coloring, signed graphs coloring and correspondence coloring.

Keywords

Cite

@article{arxiv.1805.11176,
  title  = {A short proof of Brooks' theorem},
  author = {Mariusz Zając},
  journal= {arXiv preprint arXiv:1805.11176},
  year   = {2018}
}

Comments

3 pages

R2 v1 2026-06-23T02:11:10.676Z