English

The Overfull Conjecture on Split-Comparability Graphs

Combinatorics 2017-10-11 v1

Abstract

We show in this paper that a split-comparability graph GG has chromatic index equal to Δ(G)+1\Delta(G) + 1 if and only if GG is neighborhood-overfull. That implies the validity of the Overfull Conjecture for the class of split-comparability graphs.

Keywords

Cite

@article{arxiv.1710.03524,
  title  = {The Overfull Conjecture on Split-Comparability Graphs},
  author = {Jadder Bismarck de Sousa Cruz and Cândida Nunes da Silva and Sheila Morais de Almeida},
  journal= {arXiv preprint arXiv:1710.03524},
  year   = {2017}
}
R2 v1 2026-06-22T22:08:40.232Z