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Linear arboricity

In graph theory, a branch of mathematics, the linear arboricity of an undirected graph is the smallest number of linear forests its edges can be partitioned into. Here, a linear forest is an acyclic graph with maximum degree two; that is, it is a disjoint union of path graphs. Linear arboricity is a variant of arboricity, the minimum number of forests…

Art, Relation to degree & Computational complexity

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Relation to degree

Related problems

Computational complexity

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Map overview Semantic statistics

Linear arboricity

Nodes31
Edges30
Triples24
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

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Linear arboricity

Top relations

related to Relation to degree · 13
Linear arboricity → Akiyama, But, Delta, Exoo, Ferber, Fox, Harary, However, In, Jain, The, Therefore, Thus
related to Computational complexity · 5
Linear arboricity → Even, However, NP-complete, NP-hard, Unlike
related to Related problems · 5
Linear arboricity → Another, Delta, Hamiltonian, Linear, Researchers
is a · 1
Linear arboricity → variant of arboricity

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Important terminology

arboricity linear degree graph displaystyle delta graphs edges two maximum forests forest even lceil rceil equal number partitioned vertex path

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear arboricityis avariant of arboricity0.90text
Linear arboricityrelated to Computational complexityUnlike0.60section
Linear arboricityrelated to Computational complexityNP-hard0.60section
Linear arboricityrelated to Computational complexityEven0.60section
Linear arboricityrelated to Computational complexityNP-complete0.60section
Linear arboricityrelated to Computational complexityHowever0.60section
Linear arboricityrelated to Related problemsLinear0.60section
Linear arboricityrelated to Related problemsResearchers0.60section
Linear arboricityrelated to Related problemsAnother0.60section
Linear arboricityrelated to Related problemsHamiltonian0.60section
Linear arboricityrelated to Related problemsDelta0.60section
Linear arboricityrelated to Relation to degreeThe0.60section

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