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FF1 - The Ford-Fulkerson Augmenting Path Algorithm for the...

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1 The Ford-Fulkerson Augmenting Path Algorithm for the Maximum Flow Problem Thanks to Jim Orlin & MIT OCW
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2 Ford-Fulkerson Max Flow 4 1 1 2 2 1 2 3 3 1 s 2 4 5 3 t This is the original network, plus reversals of the arcs.
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3 Ford-Fulkerson Max Flow 4 1 1 2 2 1 2 3 3 1 s 2 4 5 3 t This is the original network, and the original residual network.
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4 4 1 1 2 2 1 2 3 3 1 Ford-Fulkerson Max Flow Find any s-t path in G(x) s 2 4 5 3 t
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5 4 1 1 2 1 3 Ford-Fulkerson Max Flow Determine the capacity of the path. Send units of flow in the path. Update residual capacities. 1 1 1 2 2 3 2 1 s 2 4 5 3 t
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6 4 1 1 2 1 3 Ford-Fulkerson Max Flow Find any s-t path 1 1 1 2 2 3 2 1 s 2 4 5 3 t
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7 4 2 1 1 1 1 2 1 1 1 3 Ford-Fulkerson Max Flow 1 1 1 1 3 2 1 s 2 4 5 3 t Determine the capacity of the path. Send units of flow in the path. Update residual capacities.
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8 4 2 1 1 1 1 2 1 1 1 3 Ford-Fulkerson Max Flow 1 1 1 1 3 2 1 s 2 4 5 3 t Find any s-t path
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9 1 1 1 1 1 4 1 2 1 1 2 1 3 Ford-Fulkerson Max Flow 1 1 3 2
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