Generating facets for the independence system
Mahjoub, A. R.
SIAM Journal on Discrete Mathematics
Society for Industrial and Applied Mathematics
1484 - 1506
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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.
KeywordsIndependence system polytope
Independence system polytope