Question: Suppose you are given a directed graph G-V, E), with a positive integer capacity ce on each edge e, a source s E V,and a

Suppose you are given a directed graph G-V, E), with a

Suppose you are given a directed graph G-V, E), with a positive integer capacity ce on each edge e, a source s E V,and a sink t E V. You are also given a maximum s t flow in G, defined by a flow value f on each edge . The flow f is acyclic. There is no cycle in on which all edges carry positive flow. The flow f is also integer-valued Now suppose we pick a specific edge e E E and reduce its capacity by 1 unit. Show how to find a maximum flow in the resulting capacitated graph in time O(mn), where m is the number of edges in and n is the number of nodes

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