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

نویسندگان
Akbarizadeh, Masoumeh ID 1
Alaeiyan, Mehdi ID 2
Scapellato, Raffaele ID 3

1 Department of Mathematics, Iran University of Science and Technology

2 Department of Mathematics- Iran University of Science and Technology

3 Department of Mathematics, Politecnico di Milano, Milano, Italy

doi
10.22108/ijgt.2021.120551.1589
چکیده

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 $8pq$‎.

کلیدواژه‌ها
‎pentavalent symmetric graph‎, ‎coset graph‎, ‎solvable subgroup‎, ‎minimal normal subgroup