On the geometric rank of matching polytope

Arulselvan, Ashwin (2015) On the geometric rank of matching polytope. Mathematical Programming, 152 (1). pp. 189-200. ISSN 1436-4646

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Abstract

Padberg (Math Program 137:593–599, 2013) introduced a geometric notion of ranks for (mixed) integer rational polyhedrons and conjectured that the geometric rank of the matching polytope is one. In this work, we prove that this conjecture is true.