Work

On the order of semiregular automorphisms of cubic vertex-transitive graphs

Year: 2024

Type: article

Abstract: We prove that, if Γ is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of Γ of order at least 6, or the number of vertices of Γ is bounded above by an absolute constant.

Source: European Journal of Combinatorics

DOI: 10.1016/j.ejc.2024.104091

Authors: Marco Barbieri, Valentina Grazian, Pablo Spiga

Institutions: University of Pavia, University of Padua, University of Milano-Bicocca

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,000

OpenAlex ID: W4404719659

FWCI: 1.065

Cites: 25

Cited by: 1

Related to: 10