Question: (a) Specify a minimum cut which corresponds to the maximum flow. (b)Verify that the s-t cut ({s, C, F, G, H}, {A, B, D, E,

(a) Specify a minimum cut which corresponds to the maximum flow.

(b)Verify that the s-t cut ({s, C, F, G, H}, {A, B, D, E, I, t}) satisfies the equation v(f) = f (out) (A) ? f (in) (A).

(c) Suppose you could increase the capacity of one edge in this Graph. Which such increase would result in the greatest increase in the maximum flow for the graph? Explain how the minimum cut form part (a) helps in finding this edge and show the new flow.

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