Question: Hi, I'm not sure how to do this, any help is appreciated thanks! The Minimum Flow Problem. Assume that each arc (i,j) E A has

Hi, I'm not sure how to do this, any help is appreciated thanks!

Hi, I'm not sure how to do this, any help is appreciated

thanks! The Minimum Flow Problem. Assume that each arc (i,j) E A

The Minimum Flow Problem. Assume that each arc (i,j) E A has a lower bound lij > 0 and well as an upper bound wij on the amount of flow that must be routed along it. In the minimum flow problem we wish to send a flow f of minimum value from the source to the sink such that f satisfies the lower and upper bounds on every arc. Prove the following minflow-maxcut theorem: let the floor of an s - t cut S+(S) be l(S) = {(1,j]8+(5) bij - Elisjes-(s) Wij. Show that the minimum value of all feasible s-t flows equals the maximum floor of all s-t cuts. The Minimum Flow Problem. Assume that each arc (i,j) E A has a lower bound lij > 0 and well as an upper bound wij on the amount of flow that must be routed along it. In the minimum flow problem we wish to send a flow f of minimum value from the source to the sink such that f satisfies the lower and upper bounds on every arc. Prove the following minflow-maxcut theorem: let the floor of an s - t cut S+(S) be l(S) = {(1,j]8+(5) bij - Elisjes-(s) Wij. Show that the minimum value of all feasible s-t flows equals the maximum floor of all s-t cuts

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