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Ford Fulkerson

Ford Fulkerson. Ford-Fulkerson ( N =( G, c, s, t )) ; G = ( V , E ) for each edge , while exists a path P from s to t in residual network N f do for each edge do return f. דוגמא:. 12. v1. v2. 20. 16. 9. t. 4. 10. s.

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Ford Fulkerson

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  1. Ford Fulkerson

  2. Ford-Fulkerson (N=(G, c, s, t)) ; G = (V, E) for each edge , while exists a path P from s to t in residual network Nfdo for each edge do returnf

  3. דוגמא: 12 v1 v2 20 16 9 t 4 10 s 7 4 13 14 v3 v4 0/12 v1 v2 0/20 0/16 0/9 t s 0/10 0/4 0/7 0/4 0/13 0/14 v3 v4

  4. דוגמא: 12 v1 v2 20 16 9 t 4 10 s 7 4 13 14 v3 v4 4/12 0/12 v1 v2 0/20 0/16 4/16 4/9 0/9 t s 0/10 0/4 0/7 0/4 4/4 0/13 0/14 4/14 v3 v4

  5. דוגמא: 8 v1 v2 12 20 4 5 t 4 4 10 s 7 4 4 13 10 v3 v4 4 4/12 v1 v2 0/20 4/16 4/9 t s 0/10 0/4 0/7 4/4 0/13 4/14 v3 v4

  6. דוגמא: 8 v1 v2 12 20 4 5 t 4 4 10 s 7 4 4 13 10 v3 v4 4 4/12 v1 v2 0/20 7/20 11/16 4/16 4/9 t s 0/10 0/4 7/10 0/7 7/7 4/4 0/13 11/14 4/14 v3 v4

  7. דוגמא: 8 v1 v2 5 13 4 5 7 t 11 11 3 s 7 4 4 13 3 v3 v4 11 4/12 v1 v2 7/20 11/16 4/9 t s 0/4 7/10 7/7 4/4 0/13 11/14 v3 v4

  8. דוגמא: 8 v1 v2 5 13 4 5 7 t 11 11 3 s 7 4 4 13 3 v3 v4 11 12/12 4/12 v1 v2 7/20 15/20 11/16 4/9 t s 0/4 7/10 0/10 1/4 7/7 4/4 0/13 8/13 11/14 v3 v4

  9. דוגמא: 12 v1 v2 5 5 5 15 t 11 s 11 3 7 4 5 4 3 8 v3 v4 11 12/12 v1 v2 15/20 11/16 4/9 t s 0/10 1/4 7/7 4/4 8/13 11/14 v3 v4

  10. דוגמא: 12 v1 v2 5 5 5 15 t 11 s 11 3 7 4 5 4 3 8 v3 v4 11 12/12 v1 v2 15/20 19/20 11/16 4/9 0/9 t s 0/10 1/4 7/7 4/4 12/13 8/13 11/14 v3 v4

  11. דוגמא: 12 v1 v2 5 1 9 19 t 11 s 11 3 7 1 4 3 12 v3 v4 11 12/12 v1 v2 19/20 11/16 0/9 t s 0/10 1/4 7/7 4/4 12/13 11/14 v3 v4

  12. זמן ריצה: • בכל איטרציה: • מחושב מסלול בזמן לפי BFS. • עידכון הזרימה והרשת השיורית . • מספר האיטרציות הוא לכל היותר כגודל הזרימה . • סה''כ .

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