Alaeiyan, Mehdi; Hosseinipoor, M. K. A classification of cubic edge-transitive graphs of order \(18p\). (English) Zbl 1349.05155 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 2, 219-226 (2015). Summary: A graph is called edge-transitive if its automorphism group acts transitively on the set of its edge. In this paper, we classify all connected cubic edge-transitive graphs of order \(18p\) for each prime \(p\). Cited in 1 Document MSC: 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) Keywords:edge-transitive graphs; semisymmetric graphs; symmetric graphs; \(s\)-regular graphs; regular coverings PDF BibTeX XML Cite \textit{M. Alaeiyan} and \textit{M. K. Hosseinipoor}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 2, 219--226 (2015; Zbl 1349.05155)