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For Engineers · Bipartite Matching

Bipartite Matching for a dependency graph

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a dependency graph live below — adjust the inputs and watch it respond, right in your browser.

Bipartite MatchingLive

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Maximum bipartite matching pairs items from two groups — workers to jobs, students to schools, organs to recipients — so that as many valid pairings as possible are made, with no one assigned twice. Kuhn's algorithm repeatedly finds augmenting paths that improve the matching. The green edges are the optimal assignment.

▶ Run in Python

Data Inspector

Matched pairs0
Max possible6
Methodaugmenting paths

Governing equation

Reading this result: Only 0 of 6 paired: at 40% density the graph is too sparse, so many workers have no eligible job and augmenting paths run out early.

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Frequently asked questions

Is this good for engineers?
Yes — this version of "Bipartite Matching for a dependency graph" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.