English

On b-perfect chordal graphs

Discrete Mathematics 2007-11-27 v1

Abstract

The b-chromatic number of a graph G is the largest integer k such that G has a coloring of the vertices in k color classes such that every color class contains a vertex that has a neighbour in all other color classes. We characterize the class of chordal graphs for which the b-chromatic number is equal to the chromatic number for every induced subgraph.

Keywords

Cite

@article{arxiv.0711.3959,
  title  = {On b-perfect chordal graphs},
  author = {Frédéric Maffray and Meriem Mechebbek},
  journal= {arXiv preprint arXiv:0711.3959},
  year   = {2007}
}
R2 v1 2026-06-21T09:47:08.760Z