Ashwin Arulselvan (University of Strathclyde)

On the geometric rank of the matching polytope
Wednesday 29 October 2014 at 15.00, JCMB 6206

Abstract

Padberg introduced the notion of geometric ranks for mixed integer polyhedra. This involves in ranking the facets that define a polyhedron. He later conjectured that the geometric rank of the matching polytope is 1. In this work, we showed this conjecture to be true. We do this by showing that every non-zero ranked facet is adjacent to some rank zero facet by making use of some structural results about factor critical graphs.

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