• Citer

Generating facets for the independence system polytope

par Fouilhoux, P.;Labbé, Martine ;Mahjoub, ALI RHIDA ;Yaman, Hande
Référence SIAM journal on discrete mathematics, 23, page (1484-1506)
Publication Publié, 2009

Article révisé par les pairs

• Détails
• Contenu

Résumé :

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 der iving 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 ineq ualities for the independence system polytope by adding a set of edges to antiwebs.© 2009 Society for Industrial and Applied Mathematics.