Imani, A.; Mehdipoor, N.; Talebi, A. A. On application of linear algebra in classification cubic \(s\)-regular graphs of order 28\(p\). (English) Zbl 1390.05089 Algebra Discrete Math. 25, No. 1, 56-72 (2018). Summary: 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 \(p\). Cited in 3 Documents MSC: 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures Keywords:\(s\)-regular graphs; homology group; Coxeter graph; symmetric graphs; regular covering PDFBibTeX XMLCite \textit{A. Imani} et al., Algebra Discrete Math. 25, No. 1, 56--72 (2018; Zbl 1390.05089)