Generating facets for the independence system
Date
2009
Authors
Fouilhoux, P.
Labbé, M.
Mahjoub, A. R.
Yaman, H.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
SIAM Journal on Discrete Mathematics
Print ISSN
0895-4801
Electronic ISSN
1095-7146
Publisher
Society for Industrial and Applied Mathematics
Volume
23
Issue
3
Pages
1484 - 1506
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
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.