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Cyclomatic number

In graph theory, a branch of mathematics, the cyclomatic number, circuit rank, cycle rank, corank or nullity of an undirected graph is the minimum number of edges that must be removed from the graph to break all its cycles, making it into a tree or forest.

Applications, Formula & The number of independent cycles

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Overview

Formula

For hypergraphs

Matroid rank and construction of a minimum feedback edge set

The number of independent cycles

Applications

Related concepts

Advanced semantic analysis

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Map overview Semantic statistics

Cyclomatic number

Nodes65
Edges64
Triples38
Avg. degree1.97
Density0.030769
Components1

How this topic connects Entity context

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Cyclomatic number

Top relations

related to The number of independent cycles · 8
Cyclomatic number → Any, Because, Betti, In, Intuitively, More, The, This
related to Generalizations to directed graphs · 6
Cyclomatic number → Another, Both, It, NP-hard, The, This
related to For hypergraphs · 4
Cyclomatic number → It, Levi, The, This
related to Ear decomposition · 3
Cyclomatic number → In, The, This
related to Formula · 3
Cyclomatic number → It, The, Unlike
related to Matroid rank and construction of a minimum feedback edge set · 3
Cyclomatic number → Alternatively, The, Using
related to Meshedness coefficient · 3
Cyclomatic number → For, Here, The
related to Parametrized complexity · 3
Cyclomatic number → An, NP-hard, Some
is a · 2
Cyclomatic number → minimum feedback arc set, rank of the first
related to Computational chemistry · 2
Cyclomatic number → Frèrejacque, In

Important terminology Word statistics

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Important terminology

number graph cyclomatic rank edges cycles set graphs cycle vertices minimum displaystyle directed forest theory feedback independent ear decomposition hypergraph

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cyclomatic numberis arank of the first0.90text
Cyclomatic numberis aminimum feedback arc set0.90text
Cyclomatic numberrelated to Almost-treesSeveral0.60section
Cyclomatic numberrelated to Computational chemistryIn0.60section
Cyclomatic numberrelated to Computational chemistryFrèrejacque0.60section
Cyclomatic numberrelated to Ear decompositionThe0.60section
Cyclomatic numberrelated to Ear decompositionIn0.60section
Cyclomatic numberrelated to Ear decompositionThis0.60section
Cyclomatic numberrelated to For hypergraphsThe0.60section
Cyclomatic numberrelated to For hypergraphsLevi0.60section
Cyclomatic numberrelated to For hypergraphsIt0.60section
Cyclomatic numberrelated to For hypergraphsThis0.60section

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    Min side: 3
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