Question: a 1. The figure below shows a flow network on which an s-t flow is shown. The capacity of each edge appears as a label

a 1. The figure below shows a flow network on which an s-t flow is shown. The capacity of each edge appears as a label next to the edge, and the numbers in boxes give the amount of flow sent on each edge. (Edges without boxed numbers have no flow being sent on them.) (a) What is the value of this flow? (b) Is this a maximum s-t flow in this graph? If not, find a maximum S-t flow. (c) Find a minimum s-t cut. (Specify which vertices belong to the sets of the cut.) 4 w 4 10 4 N 2 2 7 7 10 7 7 7 a 2 N 2 6 6 10 6

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