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

Abstract

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 \(p\).