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Small bipartite subgraph polytopes

Laura Galli (l.galli***at***unibo.it)
Adam N. Letchford (A.N.Letchford***at***lancaster.ac.uk)

Abstract: We compute a complete linear description of the bipartite subgraph polytope, for up to seven nodes, and a conjectured complete description for eight nodes. We then show how these descriptions were used to compute the integrality ratio of various relaxations of the max-cut problem, again for up to eight nodes.

Keywords: polyhedral combinatorics, max-cut problem

Category 1: Combinatorial Optimization (Polyhedra )

Category 2: Integer Programming (0-1 Programming )

Citation: L. Galli & A.N. Letchford (2010) Small bipartite subgraph polytopes. Oper. Res. Lett., 38(5), 337-340.

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Entry Submitted: 04/22/2010
Entry Accepted: 04/22/2010
Entry Last Modified: 02/10/2011

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