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Generating Facets for the Independence System Polytope

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Date
2009
Dewey
Recherche opérationnelle
Sujet
integer programming; polyhedral combinatorics; independence system polytope; lifting; nonrank facets
Journal issue
SIAM Journal on Discrete Mathematics
Volume
23
Number
3
Publication date
2009
Article pages
1484-1506
Publisher
SIAM
DOI
http://dx.doi.org/10.1137/070695988
URI
https://basepub.dauphine.fr/handle/123456789/5298
Collections
  • LAMSADE : Publications
Metadata
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Author
Fouilhoux, Pierre
Labbé, Martine
Mahjoub, Ali Ridha
Yaman, Hande
Type
Article accepté pour publication ou publié
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.

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