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Suppose that you wish to find, among all minimum cuts in a flow network gg with integral capacities, one that contains the smallest number of edges. show how to modify the capacities of gg to create a new flow network g'g ′ in which any minimum cut in g'g ′ is a minimum cut with the smallest number of edges in gg.

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Suppose that you wish to find, among all minimum cuts in a flow network gg with integral capacities,...
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