Title
Recursive constructions of small regular graphs of given degree and girth.
Abstract
We revisit and generalize a recursive construction due to Sachs involving two graphs which increases the girth of one graph and the degree of the other. We investigate the properties of the resulting graphs in the context of cages and construct families of small graphs using geometric graphs, Paley graphs, and techniques from the theory of Cayley maps.
Year
DOI
Venue
2012
10.1016/j.disc.2011.10.021
Discrete Mathematics
Keywords
Field
DocType
Cage,Recursive construction,Geometric graph,Paley graph,Cayley map
Discrete mathematics,Odd graph,Combinatorics,Indifference graph,Modular decomposition,Chordal graph,Paley graph,Graph product,Cograph,Pathwidth,Mathematics
Journal
Volume
Issue
ISSN
312
17
0012-365X
Citations 
PageRank 
References 
2
0.51
9
Authors
2
Name
Order
Citations
PageRank
Geoffrey Exoo118739.86
Robert Jajcay210416.74