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arXiv · 1211.0388

Reverse Chvátal-Gomory rank

Michele Conforti·Alberto Del Pia·Marco Di Summa·Yuri Faenza·Roland Grappe
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Abstract

We introduce the reverse Chvátal-Gomory rank r*(P) of an integral polyhedron P, defined as the supremum of the Chvátal-Gomory ranks of all rational polyhedra whose integer hull is P. A well-known example in dimension two shows that there exist integral polytopes P with r*(P) equal to infinity. We provide a geometric characterization of polyhedra with this property in general dimension, and investigate upper bounds on r*(P) when this value is finite.

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Michele Conforti, Alberto Del Pia, Marco Di Summa, Yuri Faenza, Roland Grappe. 2014-09-26. Reverse Chvátal-Gomory rank. https://arxiv.org/abs/1211.0388

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