Lecture 17 : Maximum Flow and Minimum Cut

نویسنده

  • Shayan Oveis Gharan
چکیده

Last lecture we studied duality of linear programs (LP), specifically how to construct the dual, the relation between the optimum of an LP and its dual, and some duality applications. In this lecture, we will talk about another application of duality to prove one of the theorems in combinatorics so called Maximum Flow-Minimum Cut Problem. The theorem roughly says that in any graph, the value of maximum flow is equal to capacity of minimum cut.

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تاریخ انتشار 2016