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Determine maximum flow and minimum cut in the given network

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Look at the attached network and find:

a) a maximum flow
b) a minimum cut in the capacitated network.

See the attached file.

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Solution Summary

The solution assists with finding the maximum flow and a minimum cut in the capacitated network.

Solution Preview

The solution provided in attached file gives the step by step on how to find maximum flow and minimum cut in the capacitated network.

Look at the attached network and find:

a) a maximum flow

First we need to simplify the network.

Look at the edge g-t, the input flow is only from the edge e-g. Since the capacity of edge e-g is only 2, there is no point for the flow to enter the edges g-d and g-e. All flow from the edge e-g should be directed to t by g-t. Therefore, we can remove the edges g-d and g-e.

Now the node g is redundant since all flow from e-g will enter g-t. Therefore, the path e-g-t can be replaced by the edge e-t with the minimum ...

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