English

A Brooks' Theorem for Triangle-Free Graphs

Combinatorics 2011-06-13 v1 Discrete Mathematics

Abstract

Let G be a triangle-free graph with maximum degree \delta(G). We show that the chromatic number \c{hi}(G) is less than 67(1 + o(1))\delta/ log \delta.

Keywords

Cite

@article{arxiv.1106.1958,
  title  = {A Brooks' Theorem for Triangle-Free Graphs},
  author = {Mohammad Shoaib Jamall},
  journal= {arXiv preprint arXiv:1106.1958},
  year   = {2011}
}
R2 v1 2026-06-21T18:20:20.549Z