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» The stable set polytope of quasi-line graphs
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ENDM
2007
91views more  ENDM 2007»
13 years 4 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
ORL
2008
101views more  ORL 2008»
13 years 4 months ago
Gear composition and the stable set polytope
We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields cou...
Anna Galluccio, Claudio Gentile, Paolo Ventura
ORL
2008
120views more  ORL 2008»
13 years 4 months ago
Composition of stable set polyhedra
Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph...
Benjamin McClosky, Illya V. Hicks
COMBINATORICA
2008
89views more  COMBINATORICA 2008»
13 years 4 months ago
The stable set polytope of quasi-line graphs
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...
4OR
2005
71views more  4OR 2005»
13 years 4 months ago
On rank-perfect subclasses of near-bipartite graphs
Shepherd (1995) proved that the stable set polytopes of near-bipartite graphs are given by constraints associated with the complete join of antiwebs only. For antiwebs, the facet s...
Annegret Wagler