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