English

On Equistable, Split, CIS, and Related Classes of Graphs

Combinatorics 2015-05-22 v1

Abstract

We consider several graphs classes defined in terms of conditions on cliques and stable sets, including CIS, split, equistable, and other related classes. We pursue a systematic study of the relations between them. As part of this study, we introduce two generalizations of CIS graphs, obtain a new characterization of split graphs, and a characterization of CIS line graphs.

Keywords

Cite

@article{arxiv.1505.05683,
  title  = {On Equistable, Split, CIS, and Related Classes of Graphs},
  author = {Endre Boros and Vladimir Gurvich and Martin Milanič},
  journal= {arXiv preprint arXiv:1505.05683},
  year   = {2015}
}
R2 v1 2026-06-22T09:38:40.114Z