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

Document Type: Research Paper


Iran University of Science and Technology


A graph is \textit{symmetric}, if its automorphism group is transitive on the set of its arcs. In this paper, we  classify
all 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.