Generating Facets for the Independence System Polytope
Fouilhoux, Pierre; Labbé, Martine; Mahjoub, Ali Ridha; Yaman, Hande (2009), Generating Facets for the Independence System Polytope, SIAM Journal on Discrete Mathematics, 23, 3, p. 1484-1506. http://dx.doi.org/10.1137/070695988
Type
Article accepté pour publication ou publiéDate
2009Journal name
SIAM Journal on Discrete MathematicsVolume
23Number
3Publisher
SIAM
Pages
1484-1506
Publication identifier
Metadata
Show full item recordAbstract (EN)
In this paper, we present procedures to obtain facet-defining inequalities for the independence system polytope. These procedures are defined for inequalities which are not necessarily rank inequalities. We illustrate the use of these procedures by deriving strong valid inequalities for the acyclic induced subgraph, triangle free induced subgraph, bipartite induced subgraph, and knapsack polytopes. Finally, we derive a new family of facet-defining inequalities for the independence system polytope by adding a set of edges to antiwebs.Subjects / Keywords
integer programming; polyhedral combinatorics; independence system polytope; lifting; nonrank facetsRelated items
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