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How tight is the corner relaxation? Insights gained from the stable set problem

Gérard Cornuéjols (gc0v***at***andrew.cmu.edu)
Carla Michini (michini***at***dis.uniroma1.it)
Giacomo Nannicini (nannicini***at***sutd.edu.sg)

Abstract: The corner relaxation of a mixed-integer linear program is a central concept in cutting plane theory. In a recent paper Fischetti and Monaci provide an empirical assessment of the strength of the corner and other related relaxations on benchmark problems. In this paper we give a precise characterization of the bounds given by these relaxations for the edge formulation of the maximum stable set problem in a graph.

Keywords: Stable set, corner relaxation, cutting planes

Category 1: Integer Programming ((Mixed) Integer Linear Programming )

Category 2: Combinatorial Optimization (Polyhedra )

Category 3: Integer Programming (Cutting Plane Approaches )

Citation: Gérard Cornuéjols, Carla Michini, Giacomo Nannicini. How tight is the corner relaxation? Insights gained from the stable set problem, Discrete Optimization(2012), http://dx.doi.org/10.1016/j.disopt.2012.02.004.

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Entry Submitted: 10/28/2011
Entry Accepted: 10/28/2011
Entry Last Modified: 03/08/2012

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