Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method

Thumbnail Image
Date
2015
Authors
Morris, Joy
Spiga, Pablo
Verret, Gabriel
Journal Title
Journal ISSN
Volume Title
Publisher
Electronic Journal of Combinatorics
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.
Description
Sherpa Romeo green journal. Open access
Keywords
Cubic graphs , Vertex-transitive graphs , Semiregular automorphisms
Citation
Morris, J., Spiga, P., & Verret, G. (2015). Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method. Electronic Journal of Combinatorics, 22(3), P3.32
Collections