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

^*Corresponding author for this work

School of Computer Science

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

35 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
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

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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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Linear arboricity and linear k-arboricity of regular graphs

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