question archive (a) Let (S,V - S) be a minimum cut in network G

(a) Let (S,V - S) be a minimum cut in network G

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(a) Let (S,V - S) be a minimum cut in network G. Let (u, v) be an edge such that u E S and v E (V-S). It is claimed that increasing the capacity of the edge (u, v) will increase the maximum ?ow in G. Prove the claim or provide a counterexample. 0)) Let f denote the maximum ?ow of some network G . We then increase the capacity of every edge by 1. It is claimed that the maximum ?ow in this modi?ed network will be at most f +1. Prove the claim or provide a counterexample.

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