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Published in:
2012 | OriginalPaper | Chapter
The stable set polytope of claw-free graphs with stability number greater than three
Authors : Anna Galluccio, Claudio Gentile, Paolo Ventura
Published in: Operations Research Proceedings 2011
Publisher: Springer Berlin Heidelberg
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In 1965 Edmonds gave the first complete polyhedral description for a combinatorial optimization problem: the Matching polytope. Many researchers tried to generalize his result by considering the Stable Set polytope of claw-free graphs. However this is still an open problem. Here we solve it for the class of claw-free graphs with stability number greater than 3 and without 1-joins.