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On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes

Author

Listed:
  • Renbing Xiao

    (School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China)

  • Xiaojiao Zhang

    (School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China)

  • Hua Zhang

    (School of Mathematics, Yunnna Normal University, Kunming 650091, China)

Abstract

A graph is edge-primitive if its automorphism group acts primitively on the edge set of the graph. Edge-primitive graphs form an important subclass of symmetric graphs. In this paper, edge-primitive graphs of order as a product of two distinct primes are completely determined. This depends on non-abelian simple groups with a subgroup of index pq being classified, where p > q are odd primes.

Suggested Citation

  • Renbing Xiao & Xiaojiao Zhang & Hua Zhang, 2023. "On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes," Mathematics, MDPI, vol. 11(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3896-:d:1238981
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    Cited by:

    1. Yingbi Jiang & Bo Ling & Jinlong Yang & Yun Zhao, 2024. "Classifying Seven-Valent Symmetric Graphs of Order 8 pq," Mathematics, MDPI, vol. 12(6), pages 1-10, March.

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