Augmenting Path Algorithm flow 2 4 4 G: capacity 10 8 6 2 10 s 10 3 9 5 10 t Flow value = 0

Augmenting Path Algorithm flow 2 4 4 G: 8 X capacity 10 8 6 2 10 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

Augmenting Path Algorithm 2 4 4 G: 10 2 X 8 8 10 8 6 2 10 8 s 10 3 9 5 10 t Flow value = 8 2 4 4 Gf: 8 2 8 6 2 10 s 10 3 9 5 2 t 8

Augmenting Path 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 Flow value = 10 2 4 4 Gf: 10 8 6 2 10 s 10 3 7 5 10 t 2

Augmenting Path Algorithm X 8 2 2 4 4 G: 10 8 6 10 8 6 6 2 10 2 6 8 10 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

Augmenting Path 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 Flow value = 18 2 2 2 4 Gf: 8 10 8 6 2 2 s 2 3 1 5 10 t 8 8

Augmenting Path Algorithm 3 2 4 4 G: 10 7 9 10 8 6 6 2 10 Cut value = 19 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