In this paper we give an explicit description of the stable set polytope of a claw-free graph obtained by repeated applications of the strip composition of fuzzy linear interval strips, fuzzy XX-strips, and fuzzy antihat strips. Using a decomposition theorem of Chudnovsky and Seymour, this allows us to describe the stable set polytope of all facet defining claw-free graphs with stability number greater than 3.
The stable set polytope of claw-free graphs with large stability number
Galluccio A;Gentile C;Ventura P
2010
Abstract
In this paper we give an explicit description of the stable set polytope of a claw-free graph obtained by repeated applications of the strip composition of fuzzy linear interval strips, fuzzy XX-strips, and fuzzy antihat strips. Using a decomposition theorem of Chudnovsky and Seymour, this allows us to describe the stable set polytope of all facet defining claw-free graphs with stability number greater than 3.File in questo prodotto:
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