Stable sets for $(P₆,K_{2,3})$-free graphs
Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 387-401
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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 (P₆,K_2,3)-free graphs in polynomial time, extending some known results.
Keywords:
graph algorithms, stable sets, P₆-free graphs
@article{DMGT_2012_32_3_a0,
author = {Mosca, Raffaele},
title = {Stable sets for $(P₆,K_{2,3})$-free graphs},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {387--401},
publisher = {mathdoc},
volume = {32},
number = {3},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2012_32_3_a0/}
}
Mosca, Raffaele. Stable sets for $(P₆,K_{2,3})$-free graphs. Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 387-401. http://geodesic.mathdoc.fr/item/DMGT_2012_32_3_a0/