English

Dirac's theorem on chordal graphs implies Brooks' theorem

Combinatorics 2023-09-22 v2

Abstract

We give yet another proof of the list-color version of Brooks' theorem that is due, independently, to Vizing and to Erd\H{o}s, Rubin and Taylor, via a famous theorem of Dirac on chordal graphs.

Cite

@article{arxiv.2307.00640,
  title  = {Dirac's theorem on chordal graphs implies Brooks' theorem},
  author = {Carl Feghali},
  journal= {arXiv preprint arXiv:2307.00640},
  year   = {2023}
}

Comments

2 pages

R2 v1 2026-06-28T11:20:11.239Z