Classification of the pentavalent symmetric graphs of order $8pq$

Abstract

A graph $X$ is symmetric if its automorphism group is transitive on the arc set of the graph‎. ‎Let $p$ and $q$ be two prime integers‎. ‎In this paper‎, ‎a complete classification is determined of connected pentavalent symmetric graphs of order $8pq$‎.

Keywords

• ‎pentavalent symmetric graph‎
• ‎coset graph‎
• ‎solvable subgroup‎
• ‎minimal normal subgroup