Analytic proofs of a network feasibility theorem and a theorem of Fulkerson |
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Authors: | David J Houck Arthur O Pittenger |
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Institution: | Department of Mathematics University of Maryland Baltimore County 5401 Wilkens Avenue Baltimore, Maryland 21228, USA |
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Abstract: | We provide an elementary proff of Fulkerson's theorem which gives the permutation matrices as extreme points of a certain unbounded convex polyhedron. An adaptation of the proof also establishes an analogous feasibility theorem for network flows which has Fulkerson's theorem as a corollary. |
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