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Bicircular matroid

In the mathematical subject of matroid theory, the bicircular matroid of a graph G is the matroid B(G) whose points are the edges of G and whose independent sets are the edge sets of pseudoforests of G, that is, the edge sets in which each connected component contains at most one cycle.

Characters, Vector representation & Characteristic polynomial

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Vector representation

RepresentedFieldGraphic matroidsRegularFinite field
6 related topics

Characteristic polynomial

Forests
1 related topics

Flats

ForestsInduced subgraphGeometric latticePartially ordered
4 related topics

Circuits

Circuit rankTheta graphMultigraphs
3 related topics

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Overview

Circuits

Flats

As transversal matroids

Minors

Characteristic polynomial

Vector representation

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Map overview Semantic statistics

Bicircular matroid

Nodes34
Edges33
Triples45
Avg. degree1.94
Density0.058824
Components1

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Bicircular matroid

Top relations

related to References · 25
Bicircular matroid → BF01111390, Biased, Bicircular, Combinatorial Theory, Contrabalance, II, Journal, Laurence, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematics, Mathematische Zeitschrift, Matthews, MR, On, Quarterly Journal, Second Series, Series, Simões-Pereira
related to Minors · 6
Bicircular matroid → Any, Here, The, To, Unlike, Zaslavsky
related to Flats · 5
Bicircular matroid → F1, F2, In, Since, The
related to Vector representation · 4
Bicircular matroid → Bicircular, However, See Zaslavsky, The
related to As transversal matroids · 3
Bicircular matroid → Bicircular, In, That
related to Characteristic polynomial · 2
Bicircular matroid → See Zaslavsky, The

Important terminology Word statistics

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Important terminology

matroid graph bicircular forests matroids zaslavsky doi mr two vertex edges sets biased 10 theory edge one flats transversal graphs

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bicircular matroidrelated to As transversal matroidsBicircular0.60section
Bicircular matroidrelated to As transversal matroidsThat0.60section
Bicircular matroidrelated to As transversal matroidsIn0.60section
Bicircular matroidrelated to Characteristic polynomialThe0.60section
Bicircular matroidrelated to Characteristic polynomialSee Zaslavsky0.60section
Bicircular matroidrelated to FlatsThe0.60section
Bicircular matroidrelated to FlatsSince0.60section
Bicircular matroidrelated to FlatsIn0.60section
Bicircular matroidrelated to FlatsF10.60section
Bicircular matroidrelated to FlatsF20.60section
Bicircular matroidrelated to MinorsUnlike0.60section
Bicircular matroidrelated to MinorsZaslavsky0.60section

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    Min side: 3
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