Suppose you are given an adjacency-list representation of a flow network G = (V, integer capacities. Suppose also that an integer maximum flow f has already bee: That is, for each edge e € E, the integer f(e) can be accessed in 0(1) time. Now suppose that we add to G a set E' of k additional edges, each with capacity 1. O(k(IV+E+E'))-time algorithm to find a maximum flow in the modified netwo can assume that E' is given as a linked list.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Suppose you are given an adjacency-list representation of a flow network G = (V, E) with
integer capacities. Suppose also that an integer maximum flow f has already been found.
That is, for each edge e € E, the integer f(e) can be accessed in 0(1) time.
Now suppose that we add to G a set E' of k additional edges, each with capacity 1. Design a
O(k(V+ |E|+|E'))-time algorithm to find a maximum flow in the modified network. You
can assume that E' is given as a linked list.
Transcribed Image Text:Suppose you are given an adjacency-list representation of a flow network G = (V, E) with integer capacities. Suppose also that an integer maximum flow f has already been found. That is, for each edge e € E, the integer f(e) can be accessed in 0(1) time. Now suppose that we add to G a set E' of k additional edges, each with capacity 1. Design a O(k(V+ |E|+|E'))-time algorithm to find a maximum flow in the modified network. You can assume that E' is given as a linked list.
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