gXa's blog

Maximum Bipartite Matching
By gXa, history, 8 years ago, In English

Please tell the complexity of http://www.geeksforgeeks.org/maximum-bipartite-matching/ ?

And if we use directly Ford-Fulkerson Algorithm, will it be better?

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8 years ago, # |
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Maximum Bipartite Matching with Ford-Fulkerson takes O(VE) time. Using Dinic instead of Ford-Fulkerson (or Edmonds Karp for that matter; note that Edmonds Karp always find the shortest augmenting path instead of finding a random path), you can achieve a complexity of .

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    8 years ago, # ^ |
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    Can you plz explain the complexity of the link I provided?

    Secondly when and how Ford-Fulkerson Algorithm becomes better?

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      8 years ago, # ^ |
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      In the link, the bipartite matching is done using Ford-Fulkerson, so the complexity is O(VE).

      I don't understand your second question.

      A very good source to learn Max-Flow is CLRS. There's an entire chapter dedicated to network flows. You should read it.

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