Pentavalent symmetric graphs of order $$8p^2$$ 8 p 2

Ben Gong Lou () and Shi Xin Wang
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Ben Gong Lou: Yunnan University
Shi Xin Wang: Yunnan University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 253-258

Abstract: Abstract A graph is said to be symmetric if its full automorphism group is transitive on its arcs. In this paper, a complete classification of pentavalent symmetric graphs of order $$8p^2$$ 8 p 2 is given for each prime p. It is shown that a connected pentavalent symmetric graph of order $$8p^2$$ 8 p 2 exists if and only if $$p = 2$$ p = 2 or 3, and there are four such graphs up to isomorphism.

Keywords: Arc-transitive graph; Normal quotient; Automorphism group (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00248-3

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