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Operations Research Proceedings 2011 pp 47–52Cite as

The stable set polytope of claw-free graphs with stability number greater than three

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Abstract

In 1965 Edmonds gave the first complete polyhedral description for a combinatorial optimization problem: the Matching polytope. Many researchers tried to generalize his result by considering the Stable Set polytope of claw-free graphs. However this is still an open problem. Here we solve it for the class of claw-free graphs with stability number greater than 3 and without 1-joins.

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Author information

Authors and Affiliations

  1. Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti”, Consiglio Nazionale delle Ricerche, Viale Manzoni, 30 - 00185, Roma, Italia

    Anna Galluccio, Claudio Gentile & Paolo Ventura

Authors
  1. Anna Galluccio
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  2. Claudio Gentile
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  3. Paolo Ventura
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Corresponding author

Correspondence to Anna Galluccio .

Editor information

Editors and Affiliations

  1. Institut für, Betriebswirtschaftslehre, Universität Zürich, Moussonstrasse, Zurich, 8044, Switzerland

    Diethard Klatte

  2. Inst. Operations Research, ETH Zürich, Rämistr. 101, Zürich, 8092, Switzerland

    Hans-Jakob Lüthi

  3. Institut für, Betriebswirtschaftslehre, Universität Zürich, Moussonstrasse 15, Zurich, 8044, Switzerland

    Karl Schmedders

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© 2012 Springer-Verlag Berlin Heidelberg

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Galluccio, A., Gentile, C., Ventura, P. (2012). The stable set polytope of claw-free graphs with stability number greater than three. In: Klatte, D., Lüthi, HJ., Schmedders, K. (eds) Operations Research Proceedings 2011. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29210-1_8

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