Classification of the pentavalent symmetric graphs of order $8pq

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 $8pq$‎.

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Bibliographic Details
Published inInternational journal of group theory Vol. 11; no. 4; pp. 259 - 270
Main Authors Masoumeh Akbarizadeh, Mehdi Alaeiyan, Raffaele Scapellato
Format Journal Article
LanguageEnglish
Published University of Isfahan 01.12.2022
Subjects
coset graph
minimal normal subgroup
pentavalent symmetric graph
solvable subgroup
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Summary: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 $8pq$‎.
ISSN:2251-7650
2251-7669
DOI:10.22108/ijgt.2021.120551.1589