A branch-and-cut algorithm for the maximum cardinality stable set problem

A branch-and-cut algorithm for the maximum cardinality stable set problem

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Article ID: iaor2006319
Country: Netherlands
Volume: 28
Issue: 2
Start Page Number: 63
End Page Number: 74
Publication Date: Mar 2001
Journal: Operations Research Letters
Authors: ,
Keywords: programming: branch and bound, sets
Abstract:

We propose a branch-and-cut algorithm for the Maximum Cardinality Stable Set problem. Rank constraints of general structure are generated by executing clique separation algorithms on a modified graph obtained with edge projections. A branching scheme exploiting the available inequalities is also introduced. A computational experiment on the DIMACS benchmark graphs validates the effectiveness of the approach.

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