English

Algebraic proof of Brooks' theorem

Combinatorics 2017-07-31 v2

Abstract

We give a proof of Brooks' theorem and its list coloring extension using the algebraic method of Alon and Tarsi; this also shows that the Brooks' theorem remains valid in a more general game coloring setting.

Cite

@article{arxiv.0905.3475,
  title  = {Algebraic proof of Brooks' theorem},
  author = {Jan Hladký and Daniel Král' and Uwe Schauz},
  journal= {arXiv preprint arXiv:0905.3475},
  year   = {2017}
}

Comments

Brooks' Theorem extended to a game coloring setting, author list changed; 5 pages

R2 v1 2026-06-21T13:04:37.425Z