'n Exercises 5-8, a network and flow are given. By performing the flow augmentation algorithm on this network and flow, we obtain the labels shown in each network. Determine a flow having a larger value than the given flow

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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exercise 8

In Exercises 5-8, a network and flow are given. By performing the flow augmentation algorithm on this network
and flow, we obtain the labels shown in each network. Determine a flow having a larger value than the given flow
by performing steps 3.1 and 3.2 of the flow augmentation algorithm.
5.
7.
A
(source, +, ∞)
6,3
AC
(source, +,00)
6,4 B
(A, +,2)
4,4
7,2
(A, +,3)
B
7,6
7,3
C
(A, +,4)
(B, +,2)
C
6,2
5,2
D
(A, +,5)
6,6
5,3
9,6
8,4
(E, -,2)
D
5,3 E
E
(D, +,4)
6,4 F
6,2
(B, +,2)
4,4
(D, +,2)
6.
8.
A
(source, +, ∞)
2,1
AC
(B,-,1)
4,4
6,4 B
(A,+,2)
7,2
(D, +,4)
B
5,3
3,1
C
(B, -,3)
7,3
4,4
(B, +,2)
C
6,2
5,2
D
(A, +,5)
7,7
(source, +,00)
D
1,1
9,6
4,4
E
(C, -,3)
E
(C, +,2)
6,6
8,4
OF
(E, +,3)
Transcribed Image Text:In Exercises 5-8, a network and flow are given. By performing the flow augmentation algorithm on this network and flow, we obtain the labels shown in each network. Determine a flow having a larger value than the given flow by performing steps 3.1 and 3.2 of the flow augmentation algorithm. 5. 7. A (source, +, ∞) 6,3 AC (source, +,00) 6,4 B (A, +,2) 4,4 7,2 (A, +,3) B 7,6 7,3 C (A, +,4) (B, +,2) C 6,2 5,2 D (A, +,5) 6,6 5,3 9,6 8,4 (E, -,2) D 5,3 E E (D, +,4) 6,4 F 6,2 (B, +,2) 4,4 (D, +,2) 6. 8. A (source, +, ∞) 2,1 AC (B,-,1) 4,4 6,4 B (A,+,2) 7,2 (D, +,4) B 5,3 3,1 C (B, -,3) 7,3 4,4 (B, +,2) C 6,2 5,2 D (A, +,5) 7,7 (source, +,00) D 1,1 9,6 4,4 E (C, -,3) E (C, +,2) 6,6 8,4 OF (E, +,3)
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