Ford-Fulkerson Algorithm

#Computers
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Method for finding max flow in the max flow problem in a directed graph going from some source to some sink

Pseudocode

  • Let augmenting paths be those from s to t with only (non-full forward edges or non-empty backward edges)
  • While there are still augmenting paths
    • Find the augmenting path
    • Compute bottle neck capacity
    • Augment each edge and total flow

$\displaystyle O(\lvert f\rvert m)$

  • $\displaystyle \lvert f\rvert$ is the max flow of the path
  • $\displaystyle m$ is the number of edges of the algorithm