% This function performs 'Transitive Reduction' on the input path matrix 'm', which is a directed acyclic graph (DAG),
% and returns the reduced 'redec_m', using Hsu (1975)'s algorithm
% See Harry Hsu. "An algorithm for finding a minimal equivalent graph of a digraph.", Journal of the ACM, 22(1):11-16, January 1975.
% Example:
% input: m = [ 0 1 1;
% 0 0 1;
% 0 0 0];
% output: reduc_m = [ 0 1 0;
% 0 0 1;
% 0 0 0];
Cite As
Wei-Rong Chen (2026). Transitive Reduction (https://uk.mathworks.com/matlabcentral/fileexchange/50144-transitive-reduction), MATLAB Central File Exchange. Retrieved .
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Acknowledgements
Inspired: three phase five level reduced switches
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| Version | Published | Release Notes | |
|---|---|---|---|
| 1.1 | updated |
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| 1.0.0.0 |
