Contents

Ars Combinatoria

  • Research article

A Family of Tetravalent One-Regular Graphs

Mohsen Ghasemi1, Rezvan Varmazyar2
1Department Of Mathematics, Urmia University, Urmia 57135, Iran
2Department Of Mathematics, Khoy Branch, Islamic Azad University, Kooy, 58168-44799, Iran
  • Published: 31/07/2017

Abstract

A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, \(4\)-valent one-regular graphs of order \(5p^2\), where \(p\) is a prime, are classified.

Citation
Mohsen Ghasemi, Rezvan Varmazyar. A Family of Tetravalent One-Regular Graphs[J], Ars Combinatoria, Volume 134. 283-293. .