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Minimal inequalities for an infinite relaxation of integer programs

Basu, Amitabh and Conforti, Michele and Cornuéjols, Gérard and Zambelli, Giacomo (2010) Minimal inequalities for an infinite relaxation of integer programs. SIAM Journal on Discrete Mathematics, 24 (1). pp. 158-168. ISSN 0895-4801

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Identification Number: 10.1137/090756375

Abstract

We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn. This result extends a theorem of Lovasz characterizing maximal lattice-free convex sets. We then consider a model that arises in integer programming, and show that all irredundant inequalities are obtained from maximal S-free convex sets.

Item Type: Article
Official URL: http://www.siam.org/journals/sidma.php
Additional Information: © 2010 Society for Industrial and Applied Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Management
Date Deposited: 24 Jan 2011 09:49
Last Modified: 27 Jun 2011 14:33
URI: http://eprints.lse.ac.uk/id/eprint/31581

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