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math.CO2022★ 3 cited
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…
math.CO2022★ 2 cited
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.