For Students · Bipartite Matching
Bipartite Matching for a metro system
Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a metro system live below — adjust the inputs and watch it respond, right in your browser.
Bipartite MatchingLive
assignment problem
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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.
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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