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7. Ford-Fulkerson Algorithm with multiple optimal solutions

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Presentation on theme: "7. Ford-Fulkerson Algorithm with multiple optimal solutions"— Presentation transcript:

1 7. Ford-Fulkerson Algorithm with multiple optimal solutions

2 Ford-Fulkerson Algorithm
flow G: capacity 2 1 1 4 s 4 3 t 1 4 Flow value = 0 1 1 5

3 Ford-Fulkerson Algorithm
flow G: capacity 2 1 1 4 t s 3 4 1 4 Flow value = 0 1 1 5 Gf: 2 1 1 4 4 4 t s 3 1 1 1 5

4 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 1 1 4 4 t s 3 1 4 Flow value = 1 1 1 5 Gf: 2 1 1 1 1 4 t s 3 1 3 3 1 1 5

5 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 2 4 4 t s 3 1 4 1 1 Flow value = 2 1 1 5 Gf: 2 1 1 2 2 4 t s 3 1 2 2 1 1 5

6 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 1 2 4 4 t s 3 1 4 1 1 Flow value = 3 1 1 5 Gf: 2 1 1 1 2 4 t s 3 1 1 2 1 1 5

7 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 1 2 4 t s 3 3 1 3 1 1 Flow value = 3 1 1 5 Gf: 2 1 1 1 2 4 t s 3 1 2 1 1 5

8 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 1 2 4 t s 3 3 1 3 1 1 Flow value = 3 1 1 5 Gf: 2 1 1 1 2 4 t s 3 1 2 1 1 5

9 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 1 2 4 t s 3 3 1 3 1 1 Flow value = 3 1 1 5 Gf: 2 1 1 1 2 4 t s 3 1 2 1 1 5

10 Ford-Fulkerson Algorithm
flow G: 1 capacity 2 1 1 1 2 1 2 4 t s 3 3 1 3 1 1 Flow value = 3 1 1 5 Gf: 2 1 1 1 2 4 t s 3 1 2 1 1 5


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