1986
DOI: 10.1145/6462.6502
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Efficient algorithms for finding maximum matching in graphs

Abstract: This paper surveys the techniques used for designing the most efficient algorithms for finding a maximum cardinality or weighted matching in (general or bipartite) graphs. It also lists some open problems concerning possible improvements in existing algorithms and the existence of fast parallel algorithms for these problems.

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Cited by 408 publications
(206 citation statements)
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“…The simplest way to approach optimality is to look for a maximum weighted matching in this bipartite graph [9]. After removing "weak" edges that fall below a user specified threshold, we search the graph for a subset of the edges that Table 3.…”
Section: Projective Transformationsmentioning
confidence: 99%
“…The simplest way to approach optimality is to look for a maximum weighted matching in this bipartite graph [9]. After removing "weak" edges that fall below a user specified threshold, we search the graph for a subset of the edges that Table 3.…”
Section: Projective Transformationsmentioning
confidence: 99%
“…The structural matching is treated as Maximum Weight Bipartite Matching problem that can be solved in polynomial time using, for example, Kuhn's Hungarian method [18]. We use this method for two purposes: (i) to calculate semantic similarity between concept descriptions, (ii) to compute similarity of complex WSDL concepts taking into account their constituents (sub-types).…”
Section: The Wsdl Matching Methods (Wsdl-m2)mentioning
confidence: 99%
“…This situation can be represented by a weighted bipartite graph, G = (V, E) [29]. A graph is bipartite if there exists a partition of the vertex set V = V 1 ∪V 2 so that both V 1 and V 2 are independent sets, and an edge, e v 1 v 2 ∈ E, can only link v 1 ∈ V 1 to v 2 ∈ V 2 .…”
Section: Pedestrian Trackingmentioning
confidence: 99%