The Chvátal‐Gomory Closure of a Strictly Convex Body

The Chvátal‐Gomory Closure of a Strictly Convex Body

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Article ID: iaor20116005
Volume: 36
Issue: 2
Start Page Number: 227
End Page Number: 239
Publication Date: May 2011
Journal: Mathematics of Operations Research
Authors: , ,
Keywords: polyhedra
Abstract:

In this paper, we prove that the Chvátal‐Gomory closure of a set obtained as an intersection of a strictly convex body and a rational polyhedron is a polyhedron. Thus, we generalize a result of Schrijver [1980], which shows that the Chvátal‐Gomory closure of a rational polyhedron is a polyhedron.

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