The Chvátal-Gomory Closure of a Strictly Convex Body

Published Online:https://doi.org/10.1287/moor.1110.0488

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 [Schrijver, A. 1980. On cutting planes. Ann. Discrete Math.9 291–296], which shows that the Chvátal-Gomory closure of a rational polyhedron is a polyhedron.

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