Symmetric graphs of valency seven and their basic normal quotient graphs

Abstract

We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with p<qp\lt q odd primes, extending a few previous results. Moreover, a consequence partially generalizes the result of Conder, Li and Potočnik [On the orders of arc-transitive graphs, J. Algebra 421 (2015), 167–186].

Keywords

• symmetric graph
• simple group
• normal quotient graph
• 20b15
• 20b30
• 05c25