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State the Max-flow min cut theorem for network flow analysis. Trace the execution of Ford-Fulkerson algorithm for finding the maximum flow in the graph.

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Max-flow min cut theorem for network flow analysis:

If f is a flow in a flow network G(V,E) with source s and sink t, then the following conditions are equivalent:

f is a maximum flow in G.

the residual network Gf contains no augmenting paths.

lfl=C(S,T) for some cut (S,T) of G.

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