Q 1 Consider the directed bipartite graph Km,n where all edges go from the m side to the n side. Introduce a new vertex s and edges from it to the m side. Similarly, introducet and edges to it from the n side. Give all the edges capacity 1, making this a network G with vertex set V and edges set E. (a) Naively, what is the maximum flow on this network? (b) Assuming m ≤ n, describe a (simple) min cut. (c) Assuming m ≥ n, describe a min cut.

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