The monotonic diameter of the perfect matching and shortest path polytopes

  • Authors:
  • Fred J Rispoli

  • Affiliations:
  • Department of Mathematics, Dowling College, Oakdale, NY, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1992

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Abstract

The monotonic diameter is determined for the perfect matching, assignment, and shortest path polytopes. These results show that the diameter of a polytope and its monotonic diameter may be different. Furthermore, the monotonic Hirsch conjecture is true for these polytopes.