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On the order of semiregular automorphisms of cubic vertex-transitive graphs (2302.00034v1)
Published 31 Jan 2023 in math.CO and math.GR
Abstract: We prove that, if $\Gamma$ is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of $\Gamma$ of order at least $6$, or the number of vertices of $\Gamma$ is bounded above by an absolute constant.