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 -free graphs in polynomial time, extending some known results.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1598,
author = {Raffaele Mosca},
title = {Stable sets for $(P6,K\_{2,3})$-free graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {32},
year = {2012},
pages = {387-401},
zbl = {1257.05120},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1598}
}
Raffaele Mosca. Stable sets for $(P₆,K_{2,3})$-free graphs. Discussiones Mathematicae Graph Theory, Tome 32 (2012) pp. 387-401. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1598/
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