English

A simplified proof of the Johansson-Molloy Theorem using the Rosenfeld counting method

Combinatorics 2021-11-12 v1

Abstract

We show that any triangle-free graph with maximum degree Δ\Delta has chromatic number at most (1+o(1))Δ/logΔ.\left(1+o(1)\right)\Delta/\log \Delta.

Keywords

Cite

@article{arxiv.2111.06214,
  title  = {A simplified proof of the Johansson-Molloy Theorem using the Rosenfeld counting method},
  author = {Anders Martinsson},
  journal= {arXiv preprint arXiv:2111.06214},
  year   = {2021}
}