Title
The upper bound of the number of cycles in a 2-factor of a line graph
Abstract
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-factor with at most ${{3n - 2}\over {8}}$ components. For a simple graph with minimum degree at least three also, the same conclusion holds. © 2007 Wiley Periodicals, Inc. J Graph Theory 55: 72–82, 2007
Year
DOI
Venue
2007
10.1002/jgt.v55:1
Journal of Graph Theory
Keywords
Field
DocType
order n,wiley periodicals,line graph,odd branch-bond,inc. j graph theory,simple graph,minimum degree,upper bound
Discrete mathematics,Combinatorics,Line graph,Graph power,Cubic graph,Regular graph,Degree (graph theory),Distance-regular graph,Voltage graph,Mathematics,Complement graph
Journal
Volume
Issue
ISSN
55
1
0364-9024
Citations 
PageRank 
References 
9
0.84
10
Authors
4
Name
Order
Citations
PageRank
Jun Fujisawa191.51
Liming Xiong28227.88
Kiyoshi Yoshimoto313322.65
Shenggui Zhang426347.21