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A separation algorithm for the matchable set polytope

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Abstract

A matchable set of a graph is a set of vertices joined in pairs by disjoint edges. Balas and Pulleyblank gave a linear-inequality description of the convex hull of matchable sets. We give a polynomial-time combinatorial algorithm for the separation problem for this polytope, and a min—max theorem characterizing the maximum violation by a given point of an inequality of the system.

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References

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Authors and Affiliations

  1. Department of Combinatorics and Optimization, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    William H. Cunningham

  2. 19, rue de l'Ecole Polytechnique, 75005, Paris, France

    Jan Green-Krótki

Authors
  1. William H. Cunningham
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  2. Jan Green-Krótki
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Additional information

Corresponding author. Part of this work was done while this author was visiting the Institut für Operations Research and the Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Germany. Research supported by SFB303 DFG, Germany and by NSERC of Canada.

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Cunningham, W.H., Green-Krótki, J. A separation algorithm for the matchable set polytope. Mathematical Programming 65, 139–150 (1994). https://doi.org/10.1007/BF01581694

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  • DOI: https://doi.org/10.1007/BF01581694

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