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.
Morris, J., Spiga, P., Verrety, G. (2015). Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method. ELECTRONIC JOURNAL OF COMBINATORICS, 22(3), 1-12 [10.37236/4842].
Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method
SPIGA, PABLOSecondo
;
2015
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
