A Consider the maximum flow problem shown below, where the source is node A, the sink is node F, and the arc capacities are the numbers shown next to these directed arcs. 7 B 2 4 7 6 D E 6 F Iteration Augmenting path 1 2 3 C
A Consider the maximum flow problem shown below, where the source is node A, the sink is node F, and the arc capacities are the numbers shown next to these directed arcs. 7 B 2 4 7 6 D E 6 F Iteration Augmenting path 1 2 3 C
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:A
Consider the maximum flow problem shown below, where the source is node A, the sink is node F,
and the arc capacities are the numbers shown next to these directed arcs.
1
B
с
2
4
7
6
D
E
6
F
Iteration Augmenting path
1
2
3
Use the augmenting path algorithm described in Sec. 10.5 to find the flow pattern giving the maximum
flow from the source to the sink. List the augmenting path and c* for each iteration in the above table.
Show your final result by either listing the optimal flow assignment paths or clearly labeling the flow on
the network.
Expert Solution
Step 1
Maximum flow:
Maximum flow means maximum amount of flow that can flow from source node to sink node.
The two major algorithms which can solve maximum flow problem is as follows:
- Fork Fulkerson algorithm
- Dinic's algorithm
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