Linear arboricity and linear k-arboricity of regular graphs

Noga Alon; V. J. Teague; N. C. Wormald

doi:10.1007/PL00007233

Linear arboricity and linear k-arboricity of regular graphs

Noga Alon
, V. J. Teague
, N. C. Wormald

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We find upper bounds on the linear k-arboricity of d-regular graphs using a probabilistic argument. For small k these bounds are new. For large k they blend into the known upper bounds on the linear arboricity of regular graphs.

Original language	English (US)
Pages (from-to)	11-16
Number of pages	6
Journal	Graphs and Combinatorics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/PL00007233
State	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1007/PL00007233

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title = "Linear arboricity and linear k-arboricity of regular graphs",

abstract = "We find upper bounds on the linear k-arboricity of d-regular graphs using a probabilistic argument. For small k these bounds are new. For large k they blend into the known upper bounds on the linear arboricity of regular graphs.",

author = "Noga Alon and Teague, \{V. J.\} and Wormald, \{N. C.\}",

year = "2001",

doi = "10.1007/PL00007233",

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T1 - Linear arboricity and linear k-arboricity of regular graphs

AU - Alon, Noga

AU - Teague, V. J.

AU - Wormald, N. C.

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N2 - We find upper bounds on the linear k-arboricity of d-regular graphs using a probabilistic argument. For small k these bounds are new. For large k they blend into the known upper bounds on the linear arboricity of regular graphs.

AB - We find upper bounds on the linear k-arboricity of d-regular graphs using a probabilistic argument. For small k these bounds are new. For large k they blend into the known upper bounds on the linear arboricity of regular graphs.

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DO - 10.1007/PL00007233

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JO - Graphs and Combinatorics

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ER -

Linear arboricity and linear k-arboricity of regular graphs

Abstract

All Science Journal Classification (ASJC) codes

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