Mathematical Programming

, Volume 38, Issue 1, pp 69–73 | Cite as

Total dual integrality implies local strong unimodularity

  • Albertus M. H. Gerards
  • András Sebő
Article

Abstract

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

Key words

Unimodularity total dual integrality polyhedral combinatorics Hilbert bases 

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Copyright information

© The Mathematical Programming Society, Inc. 1987

Authors and Affiliations

  • Albertus M. H. Gerards
    • 1
  • András Sebő
    • 2
  1. 1.Tilburg UniversityTilburgThe Netherlands
  2. 2.Computer and Automation InstituteBudapestHungary

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