Course Solutions Uncategorized (Solved) : 2 10 Marks Suppose Re Looking Flow Network G Source S Sink T Want Express Intuition Nodes Q32858668 . . . .

(Solved) : 2 10 Marks Suppose Re Looking Flow Network G Source S Sink T Want Express Intuition Nodes Q32858668 . . . .

 

2. (10 marks) Suppose youre looking at a flow network G with source s and sink t, and you want to express the intuition that some nodes are clearly on the source side of the main bottlenecks; some nodes are clearly on the sink side of the main bottlenecks; and some nodes are in the middle. However, G can have many minimum cuts, so we have to be careful in how we make this idea precise. . We say a node v is upstream if, for all minimum s, t-cuts (A, B), we have v E A-that is, v 

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