Title
Semiregular Automorphisms of Cubic Vertex-Transitive Graphs and the Abelian Normal Quotient Method
Abstract
We characterise connected cubic graphs admitting a vertex-transitive group of automorphisms with an abelian normal subgroup that is not semiregular. We illustrate the utility of this result by using it to prove that the order of a semiregular subgroup of maximum order in a vertex-transitive group of automorphisms of a connected cubic graph grows with the order of the graph.
Year
Venue
Field
2015
ELECTRONIC JOURNAL OF COMBINATORICS
Discrete mathematics,Abelian group,Combinatorics,Automorphisms of the symmetric and alternating groups,Vertex (geometry),Automorphism,Cubic graph,Quotient,Mathematics,Normal subgroup,Geometry and topology
DocType
Volume
Issue
Journal
22.0
3.0
ISSN
Citations 
PageRank 
1077-8926
1
0.41
References 
Authors
6
3
Name
Order
Citations
PageRank
Joy Morris17816.06
Pablo Spiga27118.37
Gabriel Verret3569.25