Title
On components of 2-factors in claw-free graphs
Abstract
For a non-hamiltonian claw-free graph G with order n and minimum degree δ we show the following. If δ=4, then G has a 2-factor with at most (5n−14)/18 components, unless G belongs to a finite class of exceptional graphs. If δ⩾5, then G has a 2-factor with at most (n−3)/(δ−1) components. These bounds are sharp in the sense that we can replace nor 5/18 by a smaller quotient nor δ−1 by δ.
Year
DOI
Venue
2007
10.1016/j.endm.2007.07.050
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
claw-free graph,2-factor,minimum degree,edge degree
Discrete mathematics,Graph,Claw,Combinatorics,Claw-free graph,Quotient,Mathematics
Journal
Volume
ISSN
Citations 
29
1571-0653
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Hajo Broersma174187.39
Daniel Paulusma210214.89
Kiyoshi Yoshimoto313322.65