Bipartite Maximum-Weight Matching (Maximum-Weight Matching)
Revision as of 11:21, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Bipartite Maximum-Weight Matching (Maximum-Weight Matching)}} == Description == 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 must be bipartite. == Related Problems == Generalizations: Maximum-Weight Matching == Parameters == <pre>n: number of vertices m: number of edges N: largest weight magnitude</pre> == Table of A...")
Description
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 must be bipartite.
Related Problems
Generalizations: Maximum-Weight Matching
Parameters
n: number of vertices m: number of edges N: largest weight magnitude
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Hungarian algorithm | 1955 | $O(n^{4})$ | $O(n^{2})$ | Exact | Deterministic | Time |
| Micali; Vazirani | 1980 | $O(n^{3} logn)$ | Exact | Deterministic | Time | |
| Mucha and Sankowski | 2004 | $O(n^{3})$ | Exact | Deterministic | Time |
Time Complexity graph
Space Complexity graph
Pareto Decades graph
