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