Title
Splitter Theorems for 4-Regular Graphs
Abstract
Let $${\Phi_{k,g}}$$ be the class of all k-edge connected 4-regular graphs with girth of at least g. For several choices of k and g, we determine a set $${\mathcal{O}_{k,g}}$$ of graph operations, for which, if G and H are graphs in $${\Phi_{k,g}}$$, G ≠ H, and G contains H as an immersion, then some operation in $${\mathcal{O}_{k,g}}$$ can be applied to G to result in a smaller graph G′ in $${\Phi_{k,g}}$$ such that, on one hand, G′ is immersed in G, and on the other hand, G′ contains H as an immersion.
Year
DOI
Venue
2010
10.1007/s00373-010-0916-y
Graphs and Combinatorics
Keywords
Field
DocType
splitter theorem · immersion · 4-regular graphs · generating theorem · graph operations,regular graph
Graph operations,Discrete mathematics,Topology,Graph,Combinatorics,Splitter,New digraph reconstruction conjecture,Mathematics
Journal
Volume
Issue
ISSN
26
3
1435-5914
Citations 
PageRank 
References 
1
0.38
5
Authors
2
Name
Order
Citations
PageRank
Guoli Ding144451.58
Jinko Kanno2236.03