Pentavalent arc-transitive bicirculants

A bicirculant is a graph admitting an automorphism with two cycles of equal length in its cycle decomposition. A graph is said to be arc-transitive if its automorphism group acts transitively on the set of arcs of the graph.

In this talk I will present a classification of pentavalent arc-transitive bicirculants.

This is a joint work with Iva Antončič and Klavdija Kutnar.