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Maximum-cardinality matching

In graph theory, a maximum-cardinality matching is a special kind of subgraph useful in many computational contexts. Given a graph G, a matching is a subgraph where no two edges share a vertex. The cardinality of the matching is the number of edges in the subgraph, and the maximum cardinality is the largest number of edges a matching can contain. A…

Applications, Applications and generalizations & Algorithms for bipartite graphs

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Overview

Algorithms for bipartite graphs

Algorithms for arbitrary graphs

Applications and generalizations

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Map overview Semantic statistics

Maximum-cardinality matching

Nodes37
Edges36
Triples23
Avg. degree1.95
Density0.054054
Components1

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Maximum-cardinality matching

Top relations

related to Algorithms for arbitrary graphs · 12
Maximum-cardinality matching → An, Blum, Gabow, Hopcroft, It, Karp, Micali, Tarjan, The, This, Vazirani, VE
related to Flow-based algorithm · 6
Maximum-cardinality matching → Add, Assign, Ford, Fulkerson, The, This
has application · 4
Maximum-cardinality matching → By, If, NP-complete, The
is a · 1
Maximum-cardinality matching → special kind of subgraph useful in many computational contexts

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Important terminology

matching maximum graph algorithm maximum-cardinality vertices graphs problem bipartite edge vertex edges flow given cardinality algorithms time general subgraph exists

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Maximum-cardinality matchingis aspecial kind of subgraph useful in many computational contexts0.90text
Maximum-cardinality matchinghas applicationBy0.60section
Maximum-cardinality matchinghas applicationThe0.60section
Maximum-cardinality matchinghas applicationIf0.60section
Maximum-cardinality matchinghas applicationNP-complete0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsThe0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsIt0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsVE0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsHopcroft0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsKarp0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsMicali0.60section
Maximum-cardinality matchingrelated to Algorithms for arbitrary graphsVazirani0.60section

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