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

Author

Listed:
  • Ben Gong Lou

    (Yunnan University)

  • Shi Xin Wang

    (Yunnan University)

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.

Suggested Citation

  • Ben Gong Lou & Shi Xin Wang, 2023. "Pentavalent symmetric graphs of order $$8p^2$$ 8 p 2," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(1), pages 253-258, March.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:1:d:10.1007_s13226-022-00248-3
    DOI: 10.1007/s13226-022-00248-3
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    References listed on IDEAS

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    1. Mehdi Alaeiyan & Masoumeh Akbarizadeh, 2019. "Classification of the pentavalent symmetric graphs of order 18p," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(2), pages 485-497, June.
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