Maximum-Weight Matching

In computer science, the maximum weight matching problem is the problem of finding, in a weighted graph, a matching in which the sum of weights is maximized. Here, the graph is unrestricted; i.e. can be any general graph.

Parameters

  • nn: number of vertices
  • mm: number of edges
  • NN: largest weight magnitude

Filters

Computational Model

Randomization

Approximation

Algorithms Table

Displaying 5 of 5 algorithms

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Gabow1990O(mn+n^2log(n))O(m)
Gabow, Galil, Spencer1989O(mn*log(log(log(n)/log(2+m/n))) + n^2*log(n))
Galil, Micali, Gabow1982O(mn*log(n))
Gabow1974O(n^3)
Edmonds1965O(mn2)O(mn^2)O(mn2)O(mn^2)

Reductions Table

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Other relevant algorithms

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