Ford-Fulkerson Algorithm for Max Flow Problem

An Edmonds-Karp implementation to solve the Max-flow Min-cut Problem

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See details of the Max-flow problem in http://www.geeksforgeeks.org/ford-fulkerson-algorithm-for-maximum-flow-problem/
The first example in the code (as well as the thumbnail image) is taken from the same website above.

This MATLAB code works with an adjacency matrix to represent the graph. It also contains the function "findpath" which is a BFS (Breadth-first search) implementation for finding augmenting paths. Paths are stored using a predecessor array. I tried to make the code look elegant. :)

The output is the maximum flow and the residual graph.

Cite As

Karl Ezra Pilario (2026). Ford-Fulkerson Algorithm for Max Flow Problem (https://in.mathworks.com/matlabcentral/fileexchange/65167-ford-fulkerson-algorithm-for-max-flow-problem), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: Rearranging Rows for Gauss - Seidel Method

Categories

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0