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Minimum Cost Flow - Columbia University

Minimum Cost Flow - Columbia University

www.columbia.edu

Minimum Cost Flow Notations: Directed graph G= (V;E) Let u denote capacities Let c denote edge costs. A ow of f(v;w) units on edge (v;w) contributes cost c(v;w)f(v;w) to the objective function. Di erent (equivalent) formulations Find the maximum ow of minimum cost. Send x units of ow from s to t as cheaply as possible.

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