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On application of linear algebra in classification cubic \(s\)-regular graphs of order 28\(p\). (English) Zbl 1390.05089

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 \(p\).

MSC:

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
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