Ford-Fulkerson Algorithm for Max Flow Problem

Version 1.0.0.0 (2.54 KB) by Karl Ezra Pilario
An Edmonds-Karp implementation to solve the Max-flow Min-cut Problem
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Updated 23 Nov 2017

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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 (2024). Ford-Fulkerson Algorithm for Max Flow Problem (https://www.mathworks.com/matlabcentral/fileexchange/65167-ford-fulkerson-algorithm-for-max-flow-problem), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Statistics and Machine Learning Toolbox in Help Center and MATLAB Answers
Acknowledgements

Inspired: Rearranging Rows for Gauss - Seidel Method

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Version Published Release Notes
1.0.0.0