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Computing the new maximum flow

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Reference no: EM132418257

Problem: Suppose we are given a maximum flow in a graph G = (V, E) with source s, sink t, and integer capacities. (That is, we're given both the maximum flow value, as well as the amount of flow that goes along each edge to achieve that value.) Now the capacity of a given edge e is increased by 1. Give a linear time O(|V | + |E|) algorithm for computing the new maximum flow. Similarly, give a linear time O(|V | + |E|) algorithm for computing the new maximum flow if the capacity of a given edge e is decreased by 1. Explain the detailed answer of this problem.

Reference no: EM132418257

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