The chvätal-gomory closure of a strictly convex body

Abstract

In this paper, we prove that the Chvätal-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 Chvätal-Gomory closure of a rational polyhedron is a polyhedron. © 2011 INFORMS.