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math.CO2023★ 1 cited
Vertex-primitive digraphs with large fixity
Marco Barbieri, Primož Potočnik
The relative fixity of a digraph is defined as the ratio between the largest number of vertices fixed by a nontrivial automorphism of and the number of vertices of . We…
math.CO2023★ 1 cited
On the order of semiregular automorphisms of cubic vertex-transitive graphs
Marco Barbieri, Valentina Grazian, Pablo Spiga
We prove that, if is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of of order at least , or the number of vertic…