Basu, Amitabh, Conforti, Michele, Cornuéjols, Gérard and Zambelli, Giacomo (2010) Maximal lattice-free convex sets in linear subspaces. Mathematics of Operations Research, 35 (3). pp. 704-720. ISSN 0364-765X
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Identification Number: 10.1287/moor.1100.0461
Abstract
We consider a model that arises in integer programming and show that all irredundant inequalities are obtained from maximal lattice-free convex sets in an affine subspace. We also show that these sets are polyhedra. The latter result extends a theorem of Lovász characterizing maximal lattice-free convex sets in Rn.
| Item Type: | Article |
|---|---|
| Official URL: | http://mor.journal.informs.org/ |
| Additional Information: | © 2010 Informs |
| Divisions: | Management |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 21 Jan 2011 12:36 |
| Last Modified: | 11 Dec 2024 23:44 |
| URI: | http://eprints.lse.ac.uk/id/eprint/31544 |
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