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 Morris | 1 | 78 | 16.06 |
Pablo Spiga | 2 | 71 | 18.37 |
Gabriel Verret | 3 | 56 | 9.25 |