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Max-flow min-cut theorem

In computer science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source to the sink is equal to the total weight of the edges in a minimum cut, i.e., the smallest total weight of the edges which if removed would disconnect the source from the sink.

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FordFulkerson
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Electrical networkImage segmentation
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Proof

Ford–Fulkerson algorithmFord-Fulkerson algorithmMax-flowMin-cut
4 related topics

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Directed graphFinite setMaximum Flow Problem.
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Linear program formulation

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Max-flow min-cut theorem

Nodes29
Edges28
Triples38
Avg. degree1.93
Density0.068966
Components1

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Max-flow min-cut theorem

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related to References · 21
Max-flow min-cut theorem → Algorithms, Approximation Algorithms, Christos, Combinatorial Implications, Combinatorial Optimization, Complexity, Dover, Eugene Lawler, Introduction, ISBN, Kenneth Steiglitz, Linear Programming Interpretation, LP-Duality, Matroids, Min-Cut Theorem, Networks, Papadimitriou, Springer, The Max-Flow, Vazirani
related to history · 10
Max-flow min-cut theorem → An, Determining, Ford, Fulkerson, General, Harris, It, Ret, Ross, Theorem
related to Cuts · 4
Max-flow min-cut theorem → An, That, The, Thus
see also · 3
Max-flow min-cut theorem → Approximate, Fulkerson, Karp

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flow cut network capacity min-cut maximum max-flow theorem edge displaystyle problem source sink s-t edges equal set amount two value

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SubjectPredicateObjectConfidenceSrc
Max-flow min-cut theoremrelated to CutsThe0.60section
Max-flow min-cut theoremrelated to CutsAn0.60section
Max-flow min-cut theoremrelated to CutsThat0.60section
Max-flow min-cut theoremrelated to CutsThus0.60section
Max-flow min-cut theoremrelated to historyAn0.60section
Max-flow min-cut theoremrelated to historyFord0.60section
Max-flow min-cut theoremrelated to historyFulkerson0.60section
Max-flow min-cut theoremrelated to historyDetermining0.60section
Max-flow min-cut theoremrelated to historyHarris0.60section
Max-flow min-cut theoremrelated to historyGeneral0.60section
Max-flow min-cut theoremrelated to historyRoss0.60section
Max-flow min-cut theoremrelated to historyRet0.60section

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