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Matroid representation

In the mathematical theory of matroids, a matroid representation is a family of vectors whose linear independence relation is the same as that of a given matroid. Matroid representations are analogous to group representations; both types of representation provide abstract algebraic structures (matroids and groups respectively) with concrete descriptions…

Characters, Characterization of linear matroids & Related classes of matroids

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Characterization of linear matroids

Vámos matroidPerles configurationReal numbersRational numbersBinary matroids
14 related topics

Related classes of matroids

General positionPartition matroidsGraphic matroidUndirected graphCycle
14 related topics

Definitions

Finite setFamilyIsomorphicOne-to-oneMatrices
9 related topics

Characteristic set

CharacteristicsPrime number
2 related topics

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Definitions

Characterization of linear matroids

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Characteristic set

Related classes of matroids

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Matroid representation

Nodes53
Edges52
Triples8
Avg. degree1.96
Density0.037736
Components1

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Matroid representation

Top relations

related to Definitions · 7
Matroid representation → F-linear, It, Matroid, More, One, The, Thus
is a · 1
Matroid representation → family of vectors whose linear independence relation is the same as that of a given matroid

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Important terminology

matroid matroids linear field displaystyle representation set every defined sets may fields vectors finite elements independent f-linear vector space characteristic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Matroid representationis afamily of vectors whose linear independence relation is the same as that of a given matroid0.90text
Matroid representationrelated to DefinitionsIt0.60section
Matroid representationrelated to DefinitionsOne0.60section
Matroid representationrelated to DefinitionsMore0.60section
Matroid representationrelated to DefinitionsF-linear0.60section
Matroid representationrelated to DefinitionsThus0.60section
Matroid representationrelated to DefinitionsThe0.60section
Matroid representationrelated to DefinitionsMatroid0.60section

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