On the dominant of the s-t-cut polytope: Vertices, facets, and adjacency |
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Authors: | Martin Skutella Alexia Weber |
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Institution: | 1. Institut für Mathematik, Technische Universit?t Berlin, Sekr. MA 5–2, Stra?e des 17. Juni 136, 10623, Berlin, Germany
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Abstract: | 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 ${{\ensuremath{P_{s-t-{\rm cut}}}^{\uparrow}}}$ of the s-t-cut polytope. We present a complete characterization of ${{\ensuremath{P_{s-t-{\rm cut}}}^{\uparrow}}}$ with respect to vertices, facets, and adjacency. |
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