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Geometric comparison of combinatorial polytopes

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  • LEE, Jon
  • MORRIS, Walter

Abstract

We survey some analytic methods of volume calculation and introduce a distance function for pairs of polytopes based on their volumes. We study the distance function in the context of three familiar settings of combinatorial optimization: (i) ChvatalGomory rounding, (ii) fixed charge problems, and (iii) vertex packing on threshold graphs.

Suggested Citation

  • LEE, Jon & MORRIS, Walter, 1992. "Geometric comparison of combinatorial polytopes," LIDAM Discussion Papers CORE 1992016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1992016
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1992.html
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