Q2 Consider the following network. 7,7 V1 V3 6,6 8,5 S 10,1 5,2 t 6,0 7,4 5,5 02 V4 3,3 (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) Augment the flow. (d) Run the algorithm one more time to find the min-cut. Then check that the flow across the cut equals the capacity of the cut.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 28RE
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Please do the following questions with handwritten working out

Q2 Consider the following network.
7,7
V1
V3
6,6
8,5
S
10,1
5,2
t
6,0
7,4
5,5
02
V4
3,3
(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) Augment the flow.
(d) Run the algorithm one more time to find the min-cut. Then check that the flow across
the cut equals the capacity of the cut.
Transcribed Image Text:Q2 Consider the following network. 7,7 V1 V3 6,6 8,5 S 10,1 5,2 t 6,0 7,4 5,5 02 V4 3,3 (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) Augment the flow. (d) Run the algorithm one more time to find the min-cut. Then check that the flow across the cut equals the capacity of the cut.
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