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Stable sets for ( P , K 2 , 3 ) -free graphs

Raffaele Mosca — 2012

Discussiones Mathematicae Graph Theory

The Maximum Stable Set (MS) problem is a well known NP-hard problem. However different graph classes for which MS can be efficiently solved have been detected and the augmenting graph technique seems to be a fruitful tool to this aim. In this paper we apply a recent characterization of minimal augmenting graphs [22] to prove that MS can be solved for ( P , K 2 , 3 ) -free graphs in polynomial time, extending some known results.

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