(Maximum Flow) Jonsider the network flow problem with the following edge capacities, c(u, v) for edge (u, v): c(s,2) = 2, c(s,3) = 13, c(2,5) = 12, c(2,4) = 10, c(3, 4) = 5, c(3, 7) = 6, c(4,5) = 1, c(4,6) = 1, c(6,5) = 2, c(6, 7) = 3, c(5, t) = 6, c(7, t) = 2. %D (a) Draw the network. Only edges with positive capacities are needed. (b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show the residual graph after each augmentation following the convention in the lecture notes to draw the residual graph. Draw only edges with positive capacities for the residual graphs. (c) Show the minimum cut.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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(Maximum Flow)
Jonsider the network flow problem with the following edge capacities,
c(u, v) for edge (u, v): c(s,2) = 2, c(s, 3) = 13, c(2, 5) = 12, c(2, 4) = 10,
c(3, 4) = 5, c(3, 7) = 6, c(4, 5) = 1, c(4, 6) = 1, c(6,5) = 2, c(6, 7) = 3,
c(5, t) = 6, c(7, t) = 2.
(a) Draw the network. Only edges with positive capacities are needed.
(b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show
the residual graph after each augmentation following the convention in the
lecture notes to draw the residual graph. Draw only edges with positive
capacities for the residual graphs.
(c) Show the minimum cut.
Transcribed Image Text:(Maximum Flow) Jonsider the network flow problem with the following edge capacities, c(u, v) for edge (u, v): c(s,2) = 2, c(s, 3) = 13, c(2, 5) = 12, c(2, 4) = 10, c(3, 4) = 5, c(3, 7) = 6, c(4, 5) = 1, c(4, 6) = 1, c(6,5) = 2, c(6, 7) = 3, c(5, t) = 6, c(7, t) = 2. (a) Draw the network. Only edges with positive capacities are needed. (b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show the residual graph after each augmentation following the convention in the lecture notes to draw the residual graph. Draw only edges with positive capacities for the residual graphs. (c) Show the minimum cut.
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