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Given a graph G = (V,E), the source-sink pair (s,t) and capacity of edges {C_e ≥...

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Programming

Given a graph G = (V,E), the source-sink pair (s,t) and capacityof edges {C_e ≥ 0 | e ∈ E}, design a polynomial-time algorithm tofind a set of edges S, such that for every edge e ∈ S, increasingC_e will lead to an increase of max-flow value between s and t.Show the correctness of your algorithm.

Answer & Explanation Solved by verified expert
4.4 Ratings (584 Votes)
Consider the FordFulkerson algorithm which creates residualgraphs after sending some flow from s to t and then stops when sand t become disconnected in the residual graphHence in the final residual graph any path from s to tcontains at least one edge which is being used for its    See Answer
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