Suppose you are given a directed graph G = (V, E) with a positive integer capacity ?? on each edge e, a designated source s ∈ V, and a designated sink t ∈ V. You are also given an integer maximum s-t flow value ?? on each edge e. Now suppose we pick a specific edge e belongs E and increase its capacity by one unit. Show how to find a maximum flow in the resulting capacitated graph in O(m + n), where m is the number of edges in G and n is the number on nodes.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Suppose you are given a directed graph G = (V, E) with a positive integer capacity
?? on each edge e, a designated source s ∈ V, and a designated sink t ∈ V. You are
also given an integer maximum s-t flow value ?? on each edge e.
Now suppose we pick a specific edge e belongs E and increase its capacity by one
unit. Show how to find a maximum flow in the resulting capacitated graph in O(m
+ n), where m is the number of edges in G and n is the number on nodes. 

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