Cubic symmetric graphs of orders 36p and 36p^{2}

A graph is \textit{symmetric}, if its automorphism group is transitive on the set of its arcs. In this paper, we  classifyall the connected cubic symmetric  graphs of order 36p  and 36p^{2}, for each prime p, of which the proof depends on the classification of finite simple groups.

Cubic symmetric graphs of orders 36p and 36p^{2} Keywords:

Symmetric graphs , s-regular graphs