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[[Graph and Networking Algoriithms]]

Bipartite matching can be weighted and unweighted. Bipartite matching consists of a graph, vertexes of which can be devided in two groups, i.e. job seekers and job listings. It does not neccessarily gives back the max flow, and best result, unless it's run a max flow algorithm, such as [[Ford-Fulkerson algorithm]].

Unweighted

![[Pasted image 20220326102519.png]] not optimal

![[Pasted image 20220326102550.png]] optimal

Weighted aka Hungarian Algorithm

![[Weighted-bipartite-graph-and-its-MWBM.png]]

#algorithms #networking