On the facial structure of set packing polyhedra
 Manfred W. Padberg
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Abstract
In this paper we address ourselves to identifying facets of the set packing polyhedron, i.e., of the convex hull of integer solutions to the set covering problem with equality constraints and/or constraints of the form “⩽”. This is done by using the equivalent nodepacking problem derived from the intersection graph associated with the problem under consideration. First, we show that the cliques of the intersection graph provide a first set of facets for the polyhedron in question. Second, it is shown that the cycles without chords of odd length of the intersection graph give rise to a further set of facets. A rather strong geometric property of this set of facets is exhibited.
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 Title
 On the facial structure of set packing polyhedra
 Journal

Mathematical Programming
Volume 5, Issue 1 , pp 199215
 Cover Date
 19731201
 DOI
 10.1007/BF01580121
 Print ISSN
 00255610
 Online ISSN
 14364646
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 Manfred W. Padberg ^{(1)}
 Author Affiliations

 1. International Institute of Management, Berlin, West Germany