Consider the network flow instance (G, c) on the left and s-t flow f on the right. U U 5 5 t Co t 2 3 7 V V c: EZ+ (edge capacities) f: EZ+ (current flow) Your task is to run one iteration of the Ford-Fulkerson algorithm: (a) Specify the augmenting path used to update the current flow. (b) Specify the value of the updated flow. (c) Specify a minimum cut and the capacity of the minimum cut. (d) Use the updated flow to justify that the cut described in part (c) is a minimum cut. S so 1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider the network flow instance (G, c) on the left and s-t flow f on the right.
U
U
5
8
5
Co t
1
Ot
3
c: EZ+ (edge capacities)
f: EZ+ (current flow)
Your task is to run one iteration of the Ford-Fulkerson algorithm:
(a) Specify the augmenting path used to update the current flow.
(b) Specify the value of the updated flow.
(c) Specify a minimum cut and the capacity of the minimum cut.
(d) Use the updated flow to justify that the cut described in part (c) is a minimum cut.
S
2
S O
Transcribed Image Text:Consider the network flow instance (G, c) on the left and s-t flow f on the right. U U 5 8 5 Co t 1 Ot 3 c: EZ+ (edge capacities) f: EZ+ (current flow) Your task is to run one iteration of the Ford-Fulkerson algorithm: (a) Specify the augmenting path used to update the current flow. (b) Specify the value of the updated flow. (c) Specify a minimum cut and the capacity of the minimum cut. (d) Use the updated flow to justify that the cut described in part (c) is a minimum cut. S 2 S O
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