Title
Splitter Theorems for Cubic Graphs
Abstract
Let $\Gamma_{k,g}$ be the class of $k$-connected cubic graphs of girth at least $g$. For several choices of $k$ and $g$, we determine a set ${\cal O}_{k,g}$ of graph operations, for which, if $G$ and $H$ are graphs in $\Gamma_{k,g}$, $G\not\cong H$, and $G$ contains $H$ topologically, then some operation in ${\cal O}_{k,g}$ can be applied to $G$ to result in a smaller graph $G'$ in $\Gamma_{k,g}$ such that, on one hand, $G'$ is contained in $G$ topologically, and on the other hand, $G'$ contains $H$ topologically.
Year
DOI
Venue
2006
10.1017/S0963548305007340
Combinatorics, Probability & Computing
Keywords
Field
DocType
splitter theorems,cong h,graph operation,connected cubic graph,cal o,cubic graphs,smaller graph,cubic graph
Graph operations,Graph,Discrete mathematics,Combinatorics,Cubic graph,Splitter,Mathematics
Journal
Volume
Issue
ISSN
15
3
0963-5483
Citations 
PageRank 
References 
2
0.44
6
Authors
2
Name
Order
Citations
PageRank
Guoli Ding144451.58
Jinko Kanno2236.03