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Problem
#20210

This is a problem about Network Flows.

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Network Flows problem.doc
This is a problem about Network Flows.

The Edmonds Karp max-flow algorithm uses Breadth First Search to find
the augmenting path. What is the running time of the Edmonds-Karp
algorithm to find the maximum flow?

Here is a flow network. Trace the execution of the Edmonds-Karp
algorithm to find the maximum flow. Draw a separate picture for each
augmenting step – clearly showing the residual graph and the flow
network. What is the value of the maximum flow?

What is the value of the maximum flow? (Your answer should be a
number.)

Give a minimum cut for this flow network. (Your answer should be two
sets of vertices, S and T.)

s

b

a

c

t

1

15

2

10

6

10

5
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