Semiregular Automorphisms of Cubic Vertex-transitive Graphs
نویسندگان
چکیده
We characterise connected cubic graphs admitting a vertextransitive 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, settling [2, Problem 6.3].
منابع مشابه
Semiregular Automorphisms of Cubic Vertex-Transitive Graphs and the Abelian Normal Quotient Method
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. ∗This work was suppo...
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