Cubic symmetric graphs of orders ۳۶p and ۳۶p^{۲}

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 ۳۶p  and ۳۶p^{۲}, for each prime p, of which the proof depends on the classification of finite simple groups.

Keywords:

Symmetric graphs , s-regular graphs