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Antiwebs are rank-perfect

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Quarterly Journal of the Belgian, French and Italian Operations Research Societies Aims and scope Submit manuscript

Abstract.

Webs and antiwebs are natural generalizations of odd holes and odd antiholes with circular symmetry of their maximum cliques and stable sets. Webs and antiwebs turned out to play a crucial role for describing the stable set polytopes for larger graph classes. In this short note we obtain, with the help of a result of Shepherd (1995), a complete description of the stable set polytopes for antiwebs showing that antiwebs are rank-perfect.

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Authors and Affiliations

  1. Konrad-Zuse-Zentrum für Informationstechnik Berlin, 14195, Berlin, Germany

    Annegret K. Wagler

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  1. Annegret K. Wagler
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Correspondence to Annegret K. Wagler.

Additional information

Received: July 2003, Revised: October 2003,

AMS classification:

05, 90

Annegret K. Wagler: This work supported by the Deutsche Forschungsgemeinschaft (Gr 883/9-1)

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Wagler, A.K. Antiwebs are rank-perfect. 4OR 2, 149–152 (2004). https://doi.org/10.1007/s10288-003-0032-4

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  • DOI: https://doi.org/10.1007/s10288-003-0032-4

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