Tetravalent One-Regular Graphs of Order $4p^2$


Yan-Quan Feng, Klavdija Kutnar, Dragan Maruşič, Cui Zhang




A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper tetravalent one-regular graphs of order $4p^2$, where $p$ is a prime, are classified.