On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\)

• Date: 2018
• Main Authors: Imani, A., Mehdipoor, N., Talebi, Asghar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(S\)-regular graphs; Homology group; Coxeter graph; Symmetric graphs; Regular covering; 05C25; 20B25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168
• 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 paper, by applying concept linear algebra, we classify the connected cubic s-regular  graphs of order \(28p\) for each \( s \geq 1 \), and  prime \(p\).