Geodesic
Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method
Joy Morris1 ; Pablo Spiga2 ; Gabriel Verret3
1University of Lethbridge
2University of Milano-Bicocca
3University of Western Australia
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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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.
DOI : 10.37236/4842
Classification : 05E18, 05C25, 20B25
Mots-clés : cubic graphs, vertex-transitive graphs, semiregular automorphisms, group of automorphisms

Joy Morris  1   ; Pablo Spiga  2   ; Gabriel Verret  3

1 University of Lethbridge
2 University of Milano-Bicocca
3 University of Western Australia 
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Joy Morris; Pablo Spiga; Gabriel Verret. Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/4842

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