The p-median polytope of Y-free graphs: An application of the matching theory

  • Authors:
  • Gautier Stauffer

  • Affiliations:
  • IBM Zurich Research Lab, Säumerstrasse 4, CH-8803 Rüschlikon, Switzerland

  • Venue:
  • Operations Research Letters
  • Year:
  • 2008

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Abstract

Recently, Baiou and Barahona [M. Baiou, F. Barahona, On the p-median polytope of Y-free graphs. Discrete Optimization (in press, available online October 2007)] gave a characterization of the p-median polytope for Y-free graphs. In this paper, we give an alternative proof of this result by reducing the p-median problem in those graphs to a matching problem and then by building upon powerful results from the matching theory.