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Total dual integrality implies local strong unimodularity

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Abstract

We prove that any totally dual integral description of a full-dimensional polyhedron is locally strongly unimodular in every vertex.

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Author information

Authors and Affiliations

  1. Tilburg University, Postbus 90153, 5000 LE, Tilburg, The Netherlands

    Albertus M. H. Gerards

  2. Computer and Automation Institute, XI. Kende u. 13-17, H-1502, Budapest, Hungary

    András Sebő

Authors
  1. Albertus M. H. Gerards
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  2. András Sebő
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Additional information

The research of the first author was partly supported by the Netherlands Organization for the Advancement of Pure Research (ZWO).

This note was written while the second author visited the Institute für Ökonometrie und Operations Research, and was supported by Sonderforschungsbereich 303 (DFG).

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Gerards, A.M.H., Sebő, A. Total dual integrality implies local strong unimodularity. Mathematical Programming 38, 69–73 (1987). https://doi.org/10.1007/BF02591852

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  • DOI: https://doi.org/10.1007/BF02591852

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