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Blossom algorithm

In graph theory, the blossom algorithm is an algorithm for constructing maximum matchings on graphs. The algorithm was developed by Jack Edmonds in 1961, and published in 1965. Given a general graph G = (V, E), the algorithm finds a matching M such that each vertex in V is incident with at most one edge in M and |M| is maximized. The matching is…

Weighted matching, Overview & Blossoms and contractions

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Weighted matching

Maximum weight matchingNetworkXLEDALEMON
4 related topics

Overview

Graph theoryAlgorithmMaximum matchingsGraphJack Edmonds
13 related topics

Blossoms and contractions

BlossomContractingIf and only if
3 related topics

Bipartite matching

CardinalityGraph traversalFord–Fulkerson algorithm
3 related topics

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Overview

Augmenting paths

Blossoms and contractions

Finding an augmenting path

Bipartite matching

Weighted matching

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Map overview Semantic statistics

Blossom algorithm

Nodes32
Edges31
Triples21
Avg. degree1.94
Density0.0625
Components1

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Blossom algorithm

Top relations

related to Parallelization · 14
Blossom algorithm → Blossom, By, First, In, It, Second, The, The Blossom, These, Third, This, Thus, When, X-Blossom
related to Weighted matching · 6
Blossom algorithm → Efficient, LEDA, LEMON, NetworkX, The, This
is a · 1
Blossom algorithm → algorithm for constructing maximum matchings on graphs

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Important terminology

algorithm blossom graph path matching augmenting vertex vertices edges alternating search paths forest exposed graphs maximum one contracted time bipartite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Blossom algorithmis aalgorithm for constructing maximum matchings on graphs0.90text
Blossom algorithmrelated to ParallelizationThe Blossom0.60section
Blossom algorithmrelated to ParallelizationFirst0.60section
Blossom algorithmrelated to ParallelizationSecond0.60section
Blossom algorithmrelated to ParallelizationThird0.60section
Blossom algorithmrelated to ParallelizationIn0.60section
Blossom algorithmrelated to ParallelizationThese0.60section
Blossom algorithmrelated to ParallelizationBlossom0.60section
Blossom algorithmrelated to ParallelizationX-Blossom0.60section
Blossom algorithmrelated to ParallelizationIt0.60section
Blossom algorithmrelated to ParallelizationBy0.60section
Blossom algorithmrelated to ParallelizationThe0.60section

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