Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\)

• Date: 2018
• Main Authors: Talebi, A. A., Mehdipoor, N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(s\)-regular graphs; \(s\)-arc-transitive graphs; symmetric graphs; regular covering; 05C25; 20b25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163
• Journal Title: Algebra and Discrete Mathematics

A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this study, we classify the connected cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) for each \( s \geq 1 \), and each prime \(p\).