On $(P_5,\overline{P_5})$-sparse graphs and other families - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2008

On $(P_5,\overline{P_5})$-sparse graphs and other families

Abstract

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.
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Dates and versions

hal-00264104 , version 1 (14-03-2008)

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Jean-Luc Fouquet, Jean-Marie Vanherpe. On $(P_5,\overline{P_5})$-sparse graphs and other families. 2008. ⟨hal-00264104⟩
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