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Augmenting Paths with the Minimum Number of Backward Arcs. Imagine that, in each iteration, the Ford-Fulkerson algorithm selects the aug- menting path in Gg with

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Augmenting Paths with the Minimum Number of Backward Arcs. Imagine that, in each iteration, the Ford-Fulkerson algorithm selects the aug- menting path in Gg with the fewest number of backward arcs. Prove that: (a) The total number of iterations is Omn). (b) The total running time is 0(mn)

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