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Modular decomposition

In graph theory, the modular decomposition is a decomposition of a graph into subsets of vertices called modules. A module is a generalization of a connected component of a graph. Unlike connected components, however, one module can be a proper subset of another. Modules therefore lead to a recursive (hierarchical) decomposition of the graph, instead of…

Modules, Overview & Modular quotients and factors

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Modules

Brandstädt, Le & Spinrad 1999GallaiNon-neighborComplementEmpty set
14 related topics

Overview

GraphVerticesGeneralizationConnected componentProper subset
12 related topics

Modular quotients and factors

Quotient graphComplete graph
2 related topics

Generalizations

Skew partition
1 related topics

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Overview

Modules

Modular quotients and factors

Generalizations

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Modular decomposition

Nodes34
Edges33
Triples139
Avg. degree1.94
Density0.058824
Components1

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Modular decomposition

Top relations

related to References · 118
Modular decomposition → Academic Press, Acta Mathematica Academiae Scientiarum, Algorithmic, Algorithmic Aspects, Algorithmic Graph Theory, American Mathematical Society, Andreas, Annals, Applied Mathematics, Automata, BF02020961, BF02022041, Bibcode, Boca Raton, Boolean, Brandstädt, Bruce, Charis, Christophe, Cite
related to Algorithmic issues · 7
Modular decomposition → An, Given, However, It, One, The, Theta
related to Generalizations · 5
Modular decomposition → McConnell, Modular, Montgolfier, Reed, With
is a · 3
Modular decomposition → decomposition of a graph into subsets of vertices called modules, example, single tree node.Gallai showed that if G
related to External links · 3
Modular decomposition → Java, Julia, Perl
related to The modular decomposition · 3
Modular decomposition → Fortunately, It, The

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Important terminology

displaystyle graph modular decomposition modules module graphs vertices tree connected partition doi set quotient quotients 10 node complement factors spinrad

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Modular decompositionis adecomposition of a graph into subsets of vertices called modules0.90text
Modular decompositionis aexample0.90text
Modular decompositionis asingle tree node.Gallai showed that if G0.90text
Modular decompositionrelated to Algorithmic issuesAn0.60section
Modular decompositionrelated to Algorithmic issuesGiven0.60section
Modular decompositionrelated to Algorithmic issuesHowever0.60section
Modular decompositionrelated to Algorithmic issuesTheta0.60section
Modular decompositionrelated to Algorithmic issuesThe0.60section
Modular decompositionrelated to Algorithmic issuesIt0.60section
Modular decompositionrelated to Algorithmic issuesOne0.60section
Modular decompositionrelated to External linksPerl0.60section
Modular decompositionrelated to External linksJava0.60section

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