English

Coloring claw-free graphs with \Delta-1 colors

Combinatorics 2015-08-06 v2

Abstract

We prove that every claw-free graph GG that doesn't contain a clique on Δ(G)9\Delta(G) \geq 9 vertices can be Δ(G)1\Delta(G) - 1 colored.

Keywords

Cite

@article{arxiv.1206.1269,
  title  = {Coloring claw-free graphs with \Delta-1 colors},
  author = {Daniel W. Cranston and Landon Rabern},
  journal= {arXiv preprint arXiv:1206.1269},
  year   = {2015}
}

Comments

18 pages, 4 figures; moved list-coloring section earlier; added overview at end of Section 1 and start of Section 2

R2 v1 2026-06-21T21:15:10.732Z