Problem

Consider the following problem. You are given a flow network with unit-capacity edges: It...

Consider the following problem. You are given a flow network with unit-capacity edges: It consists of a directed graph G = (V, E), a source s ε V, and a sink t ε V; and ce = 1 for every e ε E. You are also given a parameter k.

The goal is to delete k edges so as to reduce the maximum s-t flow in G by as much as possible. In other words, you should find a set of edges so that |F| = k and the maximum s-t flow in G = (V, E - F) is as small as possible subject to this.

Give a polynomial-time algorithm to solve this problem.

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Solutions For Problems in Chapter 7

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