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Integer-empty polytopes in the 0/1-cube with maximal Gomory-Chvátal rank

Sebastian Pokutta (pokutta***at***mit.edu)
Andreas S. Schulz (schulz***at***mit.edu)

Abstract: We provide a complete characterization of all polytopes P ⊆ [0,1]^n with empty integer hull whose Gomory-Chvátal rank is n (and, therefore, maximal). In particular, we show that the first Gomory- Chvátal closure of all these polytopes is identical.

Keywords: Gomory-Chvátal procedure, integer programming, maximal rank

Category 1: Integer Programming (0-1 Programming )

Category 2: Combinatorial Optimization (Polyhedra )

Category 3: Integer Programming (Cutting Plane Approaches )


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Entry Submitted: 12/13/2010
Entry Accepted: 12/13/2010
Entry Last Modified: 09/01/2011

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