Let a network be given by nodes V = {S, A, B,C, D,T} and ares, capacities e and a flow f according to the table: SA SC AB BT AC DC BD DT AT CT T? 3 4 1 0 ? ? 1 3 ? 3 5 1 1 2 3 4 3 5 (a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the value of the flow? (b) Determine a maximal flow from S to T and a minimal cut with its capacity by the augmenting path method starting by the flow f from (a).

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Let a network be given by nodes V = {S, A, B,C, D,T} and ares, capacities e and a flow f according to
the table:
SA SC AB вТ АС DC BD DT AT CT
? ? 1 3 ?
3 4 1 0
5 1 1
9
3
2 3 4 3 5
(a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the
value of the flow?
(b) Determine a maximal flow from S to T and a minimal cut with its capacity by the augmenting path
method starting by the flow f from (a).
Transcribed Image Text:Let a network be given by nodes V = {S, A, B,C, D,T} and ares, capacities e and a flow f according to the table: SA SC AB вТ АС DC BD DT AT CT ? ? 1 3 ? 3 4 1 0 5 1 1 9 3 2 3 4 3 5 (a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the value of the flow? (b) Determine a maximal flow from S to T and a minimal cut with its capacity by the augmenting path method starting by the flow f from (a).
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