Abstract
A graph is called $s$-regular if its automorphism group acts regularly on the set of its $s$-arcs. In this paper, we classify all connected cubic $s$-regular graphs of order $6p^3$ for each $s\geq1$ and all primes $p$.
Keywords: symmetric graphs; $s$-regular graphs; regular coverings.
MSC: 05C10, 05C25
Pages: 101--117
Volume 69 , Issue 2 , 2017
Published by Društvo matematičara Srbije Kneza Mihaila 35/IV, P.O.B. 355, 11000 Belgrade, Serbia E-mail: drustvomatematicara(at)yahoo.com Fax: +381 11 3036 819 ISSN 2406-0682 (Online), ISSN 0025–5165 (Print)