We prove that, if P is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of P of order at least 6, or the number of vertices of P is bounded above by an absolute constant. (c) 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
On the order of semiregular automorphisms of cubic vertex-transitive graphs
Grazian V.
;
2025
Abstract
We prove that, if P is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of P of order at least 6, or the number of vertices of P is bounded above by an absolute constant. (c) 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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