2012 | OriginalPaper | Chapter
The Gomory-Chvátal Closure of a Non-Rational Polytope is a Rational Polytope
Authors : Juliane Dunkel, Andreas S. Schulz
Published in: Operations Research Proceedings 2011
Publisher: Springer Berlin Heidelberg
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The question as to whether the Gomory-Chvátal closure of a non-rational polytope is a polytope has been a longstanding open problem in integer programming. In this paper, we answer this question in the affirmative, by combining ideas from polyhedral theory and the geometry of numbers.