A note on clique-web facets for multicut polytopes

A note on clique-web facets for multicut polytopes

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Article ID: iaor2004671
Country: United States
Volume: 27
Issue: 4
Start Page Number: 740
End Page Number: 742
Publication Date: Nov 2002
Journal: Mathematics of Operations Research
Authors:
Keywords: programming: integer
Abstract:

In this note we provide a previously undiscovered necessary condition for the facet-defining property of clique-web inequalities for the multicut polytope. This condition imposes minimum cardinality requirement on the node set of the clique, thus implying, in general, that clique-web inequalities associated with relatively small cliques are not facet-defining for multicut polytopes.

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