Preflow_Push_Max_Flow

Preflow_Push_Max_Flow - 15.082 and 6.855J The...

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15.082 and 6.855J The Goldberg-Tarjan Preflow Push Algorithm for the Maximum Flow Problem
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Preflow Push 4 1 4 1 2 3 1 s 2 5 3 t This is the original network, plus reversals of the arcs.
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Preflow Push 4 1 1 4 1 2 3 1 s 2 5 3 t This is the original network, and the original residual network.
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Initialize Distances 4 1 1 4 1 2 3 1 The node label henceforth will be the distance label. 0 5 4 3 2 1 t 4 5 3 s 2 d(j) is at most the distance of j to t in G(x) 0 2 2 1 1 1
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Saturate Arcs out of node s 4 1 1 4 1 2 3 1 Saturate arcs out of node s. 0 5 4 3 2 1 t 5 Move excess to the adjacent arcs 0 1 3 2 1 2 1 3 6 s s Relabel node s after all incident arcs have been saturated. 2 3 4
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Select, then relabel/push 4 1 1 4 1 2 3 1 Select an active node, that is, one with excess 0 5 4 3 2 1 t 4 5 3 2 Push/Relabel 0 1 3 2 3 6 s s Update excess after a push 1 1
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Select, then relabel/push 4 1 1 4 1 2 3 1 Select an active node, that is, one with excess 0 5 4 3 2 1 t 4 5 2 0 1 3 2 1 6 s No arc incident to the selected node is admissible. So relabel.
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This note was uploaded on 05/05/2010 for the course EE 15.082 taught by Professor Orlin during the Spring '10 term at Visayas State University.

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Preflow_Push_Max_Flow - 15.082 and 6.855J The...

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