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Consider the following flow network. S 6,6 V1 10,1 7,4 V2 7,7 6,0 3.3 V3 5,2 V4 8,5 t (a) Check it is a proper flow, by confirming that the flow out of each internal vertex (v₁, ..., V4) equals the flow in. (b) Find an augmenting path (c) State which edges, on your path, have minimum and maximum flow-capacity.

Consider the following flow network. S 6,6 V1 10,1 7,4 V2 7,7 6,0 3.3 V3 5,2 V4 8,5 t (a) Check it is a proper flow, by confirming that the flow out of each internal vertex (v₁, ..., V4) equals the flow in. (b) Find an augmenting path (c) State which edges, on your path, have minimum and maximum flow-capacity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following flow network. S 6,6 V1 10,1 7,4 V2 7,7 6,0 3,3 V3 5,2 V4 8,5 t (a) Check it is a proper flow, by confirming that the flow out of each internal vertex (v₁, . . ., V₁) equals the flow in. (b) Find an augmenting path (c) State which edges, on your path, have minimum and maximum flow-capacity. (d) Augment the flow. (e) Run the algorithm one more time to find the min-cut, and check that the flow across the cut equals the capacity.
Transcribed Image Text:Consider the following flow network. S 6,6 V1 10,1 7,4 V2 7,7 6,0 3,3 V3 5,2 V4 8,5 t (a) Check it is a proper flow, by confirming that the flow out of each internal vertex (v₁, . . ., V₁) equals the flow in. (b) Find an augmenting path (c) State which edges, on your path, have minimum and maximum flow-capacity. (d) Augment the flow. (e) Run the algorithm one more time to find the min-cut, and check that the flow across the cut equals the capacity.
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