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

^*此作品的通讯作者

数学学院

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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).

源语言	英语
页（从-至）	2478-2483
页数	6
期刊	Discrete Mathematics
卷	307
期	21
DOI	https://doi.org/10.1016/j.disc.2006.11.012
出版状态	已出版 - 6 10月 2007

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10.1016/j.disc.2006.11.012

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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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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

UR - https://www.scopus.com/pages/publications/34648828468

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

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IS - 21

ER -

On the 2-factor index of a graph

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