7. Ford-Fulkerson Demo
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![Page 1: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/1.jpg)
Algorithm Design by Éva Tardos and Jon Kleinberg • Copyright © 2005 Addison Wesley • Slides by Kevin Wayne
7. Ford-Fulkerson Demo
![Page 2: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/2.jpg)
2
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
0
0
0
0 0 0
0
0
G:
Flow value = 0
0
flowcapacity
![Page 3: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/3.jpg)
3
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
0
0
0
0 0 0
0
0
G:
s
2
3
4
5 t 10 9
4
10 6 2
Gf:10 8
10
8 8
8
X X
X
0
Flow value = 0
capacity
residual capacity
flow
![Page 4: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/4.jpg)
4
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
8
0
0
0 0 8
8
0 0
G:
s
2
3
4
5 t 10
4
10 6 Gf:
8
8
8
9
22
2
10
210
X
X
X2X
Flow value = 8
![Page 5: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/5.jpg)
5
0
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
10
0
0
0 2 10
8
2
G:
s
2
3
4
5 t
4
2
Gf:
10
810
2
10 7
10 6
X
66
6
X
X
8X
Flow value = 10
![Page 6: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/6.jpg)
6
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
10
0
6
6 8 10
8
2
G:
s
2
3
4
5 t1
6 Gf:
10
8 10
8
6
6
6
4
4
4
2
X
8
2
8
X
X
0X
Flow value = 16
![Page 7: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/7.jpg)
7
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
10
2
8
8 8 10
8
0
G:
s
2
3
4
5 t
6 2
Gf:
10
10
8
6
8
8
2
2 1
2
8 2
X
9
7 9
X
X
9X
X 3
Flow value = 18
![Page 8: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/8.jpg)
8
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
10
3
9
9 9 10
7
0
G:
s
2
3
4
5 t 1 9
1
1 6 2
Gf:
10
7 10
6
9
9
3
1
Flow value = 19
![Page 9: 7. Ford-Fulkerson Demo](https://reader036.fdocuments.us/reader036/viewer/2022083004/56812d0a550346895d91de48/html5/thumbnails/9.jpg)
9
Ford-Fulkerson Algorithm
s
2
3
4
5 t 10
10
9
8
4
10
10 6 2
10
3
9
9 9 10
7
0
G:
s
2
3
4
5 t 1 9
1
1 6 2
Gf:
10
7 10
6
9
9
3
1
Flow value = 19Cut capacity =
19