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Geometric comparison of combinatorial polytopes

Jon Lee and Walter Morris

No 1992016, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

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.

Date: 1992-02-01
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