General Cut-Generating Procedures for the Stable Set Polytope

Ricardo C. Corrêa; Diego Delle Donne; Ivo Koch; Javier Marenco

doi:10.1016/j.dam.2017.02.005

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arXiv · 1512.08757

General Cut-Generating Procedures for the Stable Set Polytope

Ricardo C. Corrêa·Diego Delle Donne·Ivo Koch·Javier Marenco

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Abstract

We propose general separation procedures for generating cuts for the stable set polytope, inspired by a procedure by Rossi and Smriglio and applying a lifting method by Xavier and Campêlo. In contrast to existing cut-generating procedures, ours generate both rank and non-rank valid inequalities, hence they are of a more general nature than existing methods. This is accomplished by iteratively solving a lifting problem, which consists of a maximum weighted stable set problem on a smaller graph. Computational experience on DIMACS benchmark instances shows that the proposed approach may be a useful tool for generating cuts for the stable set polytope.

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Ricardo C. Corrêa, Diego Delle Donne, Ivo Koch, Javier Marenco. 2017-12-28. General Cut-Generating Procedures for the Stable Set Polytope. https://doi.org/10.1016/j.dam.2017.02.005

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