Question: For a flow network G = ( V, E ) with specified s, t in V and capacities c e > 0 for e in

For a flow network G = (V, E) with specified s, t in V and capacities c_e > 0 for e in E, you are given a flow f (you are given f_efor every e in E).

Note: For both parts, faster and correct is better.

Part (a): Explain an algorithm to verify/check whether or not f is a valid flow. Be sure to state and explain the running time of your algorithm.

Part (b): It is claimed that f is a maximum flow. Explain an algorithm to verify/check whether or not f is a maximum flow. Be sure to state and explain the running time of your algorithm.

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