Question: Suppose that you wish to find, among all minimum cuts in a flow network G with integral capacities, one that contains the smallest number of

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

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LetS TandX Ybe two cuts inGandG Letcbe the capacity function ofGOne way to definecis to add a small ... View full answer

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