Max-flow min-cut theorem

id: max-flow-min-cut-theorem-187-15123000
title: Max-flow min-cut theorem
text: 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. This is a special case of the duality theorem for linear programs and can be used to derive Menger's theorem and the Kőnig–Egerváry theorem.
brand slug: wiki
category slug: encyclopedia
description: Concept in optimization theory
original url: https://en.wikipedia.org/wiki/Max-flow_min-cut_theorem
date created: 2002-08-30T20:17:42Z
date modified: 2024-09-08T15:14:31Z
main entity: {"identifier":"Q608294","url":"https://www.wikidata.org/entity/Q608294"}
image:
fields total: 13
integrity: 15

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