7. Ford-Fulkerson Demo.

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Presentation transcript:

7. Ford-Fulkerson Demo

Ford-Fulkerson Algorithm flow 2 4 4 capacity G: 10 8 6 2 10 s 10 3 9 5 10 t Flow value = 0

Ford-Fulkerson Algorithm flow 2 4 4 capacity G: 8 X 10 8 6 2 10 8 s 10 3 9 5 10 t Flow value = 0 2 4 4 residual capacity Gf: 10 8 6 2 10 s 10 3 9 5 10 t

Ford-Fulkerson Algorithm 2 4 4 G: 10 2 X 8 8 10 8 6 2 10 8 s 10 3 9 5 10 t 10 Flow value = 8 2 4 4 Gf: 8 2 8 6 2 10 s 10 3 9 5 2 t 8

Ford-Fulkerson Algorithm 2 4 4 G: X 6 8 10 8 10 8 6 2 10 2 2 10 s 10 3 9 5 10 t 16 Flow value = 10 2 4 4 Gf: 10 8 6 2 10 s 10 3 7 5 10 t 2

Ford-Fulkerson Algorithm X 8 2 2 4 4 G: 10 8 6 10 8 6 6 2 10 2 6 8 10 18 s 10 3 9 5 10 t Flow value = 16 2 4 4 Gf: 6 10 8 6 2 4 s 4 3 1 5 10 t 6 8

Ford-Fulkerson Algorithm X 9 7 3 2 2 4 4 G: 10 8 8 10 8 6 6 2 10 8 8 10 s 10 3 9 5 10 t 19 Flow value = 18 2 2 2 4 Gf: 8 10 8 6 2 2 s 2 3 1 5 10 t 8 8

Ford-Fulkerson Algorithm 3 2 4 4 G: 10 7 9 10 8 6 6 2 10 9 9 10 s 10 3 9 5 10 t Flow value = 19 3 2 1 4 Gf: 9 1 10 7 6 2 1 s 1 3 9 5 10 t 9

Ford-Fulkerson Algorithm 3 2 4 4 G: 10 7 9 10 8 6 6 2 10 9 9 10 s 10 3 9 5 10 t Cut capacity = 19 Flow value = 19 3 2 1 4 Gf: 9 1 10 7 6 2 1 s 1 3 9 5 10 t 9