On $(P_5,\overline{P_5})$-sparse graphs and other families
Résumé
We extend the notion of $P_4$-sparse graphs previously introduced by {\scshape Hoàng} by considering $\mathcal{F}$-sparse graphs were $\mathcal{F}$ denotes a finite set of graphs on $p$ vertices. Thus we obtain some results on $(P_5,\overline{P_5})$-sparse graphs already known on $(P_5,\overline{P_5})$-free graphs. Finally we completely describe the structure of $(P_5,\overline{P_5}, bull$)-sparse graphs, it follows that those graphs have bounded clique-width.
Domaines
Mathématique discrète [cs.DM]
Origine : Fichiers produits par l'(les) auteur(s)
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