On the 2-factor index of a graph

Liming Xiong; Ming Chu Li

doi:10.1016/j.disc.2006.11.012

On the 2-factor index of a graph

Liming Xiong^*, Ming Chu Li

^*Corresponding author for this work

School of Mathematics and Statistics

Dalian University of Technology

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

8 Citations (Scopus)

Abstract

The 2-factor index of a graph G, denoted by f (G), is the smallest integer m such that the m-iterated line graph L^m (G) of G contains a 2-factor. In this paper, we provide a formula for f (G), and point out that there is a polynomial time algorithm to determine f (G).

Original language	English
Pages (from-to)	2478-2483
Number of pages	6
Journal	Discrete Mathematics
Volume	307
Issue number	21
DOIs	https://doi.org/10.1016/j.disc.2006.11.012
Publication status	Published - 6 Oct 2007

Keywords

2-factor
2-factor index
Branch-bond
Iterated line graph

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10.1016/j.disc.2006.11.012

Cite this

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title = "On the 2-factor index of a graph",

abstract = "The 2-factor index of a graph G, denoted by f (G), is the smallest integer m such that the m-iterated line graph Lm (G) of G contains a 2-factor. In this paper, we provide a formula for f (G), and point out that there is a polynomial time algorithm to determine f (G).",

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author = "Liming Xiong and Li, {Ming Chu}",

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AU - Xiong, Liming

AU - Li, Ming Chu

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AB - The 2-factor index of a graph G, denoted by f (G), is the smallest integer m such that the m-iterated line graph Lm (G) of G contains a 2-factor. In this paper, we provide a formula for f (G), and point out that there is a polynomial time algorithm to determine f (G).

KW - 2-factor

KW - 2-factor index

KW - Branch-bond

KW - Iterated line graph

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U2 - 10.1016/j.disc.2006.11.012

DO - 10.1016/j.disc.2006.11.012

M3 - Article

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VL - 307

SP - 2478

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JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 21

ER -

On the 2-factor index of a graph

Abstract

Keywords

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