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Disjunctive programming and relaxations of polyhedra
Authors:Michele?Conforti,Alberto?Del Pia  author-information"  >  author-information__contact u-icon-before"  >  mailto:alberto.delpia@math.ethz.ch"   title="  alberto.delpia@math.ethz.ch"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:1.Dipartimento di Matematica Pura ed Applicata,Universitá degli Studi di Padova,Padova,Italy;2.IFOR, Department of Mathematics,ETH Zürich,Zürich,Switzerland
Abstract:Given a polyhedron (L) with (h) facets, whose interior contains no integral points, and a polyhedron (P), recent work in integer programming has focused on characterizing the convex hull of (P) minus the interior of (L). We show that to obtain such a characterization it suffices to consider all relaxations of (P) defined by at most (n(h-1)) among the inequalities defining (P). This extends a result by Andersen, Cornuéjols, and Li.
Keywords:
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