3 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency
Marco Barbieri, Valentina Grazian, Pablo Spiga
We prove that, if is a finite connected -valent vertex-transitive, or -valent vertex- and edge-transitive graph, then either is part of a well-understood family of gr…
On the Cayleyness of Praeger-Xu graphs
Marco Barbieri, Valentina Grazian, Pablo Spiga
We give a sufficient and necessary condition for a Praeger-Xu graph to be a Cayley graph.