Question: 5. [15 marks] Assume that you are given a network flow graph G with a source s, a sink t and two other distinct vertices

5. [15 marks] Assume that you are given a network flow graph G with a source

s, a sink t and two other distinct vertices u and v. Design an algorithm which

returns a smallest capacity cut among all cuts for which the vertex u is in the

same side of the cut as the source s and vertex v is in the same side as the

sink t and which runs in polynomial time.

5. [15 marks] Assume that you are given a network flow graph

5. [15 marks] Assume that you are given a network flow graph G with a source s, a sink t and two other distinct vertices u and v. Design an algorithm which returns a smallest capacity cut among all cuts for which the vertex u is in the same side of the cut as the source s and vertex v is in the same side as the sink t and which runs in polynomial time

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