Question: You are given a flow network with unit-capacity edges: It consists of a directed graph G=(V,E), a source s?V,and a sink t?V; and ce =1

You are given a flow network with unit-capacity edges: It consists of a directed graph G=(V,E), a source s?V,and a sink t?V; and ce =1 for every e ? 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 F ? E 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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