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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 publié
Date
2009
Journal name
SIAM Journal on Discrete Mathematics
Volume
23
Number
3
Publisher
SIAM
Pages
1484-1506
Publication identifier
Metadata
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Author(s)
Fouilhoux, Pierre
Labbé, Martine
Mahjoub, Ali Ridha
Yaman, Hande
Abstract (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 facets