On the dominant of the s-t-cut polytope: Vertices, facets, and adjacency

نویسندگان

  • Martin Skutella
  • Alexia Weber
چکیده

The natural linear programming formulation of the maximum s-t-flow problem in path variables has a dual linear program whose underlying polyhedron is the dominant P↑ s-t-cut of the s-t-cut polytope. We present a complete characterization of P↑ s-t-cut with respect to vertices, facets, and adjacency.

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On the dominant of the s-t-cut polytope

The natural linear programming formulation of the maximum s-t-flow problem in path variables has a dual linear program whose underlying polyhedron is the dominant P↑ s-t-cut of the s-t-cut polytope. We present a complete characterization of P↑ s-t-cut with respect to vertices, facets, and adjacency.

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عنوان ژورنال:
  • Math. Program.

دوره 124  شماره 

صفحات  -

تاریخ انتشار 2010