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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…

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Applications, Applications and generalizations & Algorithms for bipartite graphs

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Explore the main themes, entities and connections around Maximum-cardinality matching. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Algorithms for bipartite graphs

Algorithms for arbitrary graphs

Applications and generalizations

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Maximum-cardinality matching

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

How this topic connects Entity context

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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

Important terminology Word statistics

Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.

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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

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
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

Related concept clusters Concept neighborhoods

Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.

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    Connections between topic areas Semantic bridges

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