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

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Xiong, L., & Li, M. C. (2007). On the 2-factor index of a graph. Discrete Mathematics, 307(21), 2478-2483. https://doi.org/10.1016/j.disc.2006.11.012

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KW - Branch-bond

KW - Iterated line graph

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On the 2-factor index of a graph

Abstract

Keywords

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