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7. (5 points) Let G be a flow network, let f be the flow in G obtained after the first augmentation in an execution of

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7. (5 points) Let G be a flow network, let f be the flow in G obtained after the first augmentation in an execution of the Edmonds-Karp maximum flow algorithm on G, and let (f0,h0),,(fk,hk) be the sequence of configurations associated with some execution of the generic push-relabel algorithm on G. Prove that for some choice of G,f, and (f0,h0),,(fk,hk), the flow f does not belong to {f0,,fk}

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