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The Square of Some Generalized Hamming Graphs

Author

Listed:
  • Yipeng Li

    (Department of Applied Mathematics, Xi’an University of Science and Technology, Xi’an 710054, China)

  • Jing Zhang

    (Modern Industrial Innovation Practice Center, Dongguan Polytechnic College, Dongguan 523109, China)

  • Meili Wang

    (Department of Applied Mathematics, Xi’an University of Science and Technology, Xi’an 710054, China)

Abstract

In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p -sum of complete graphs. As applications, we determine the eigenvalues of the square of some generalized Hamming graphs.

Suggested Citation

  • Yipeng Li & Jing Zhang & Meili Wang, 2023. "The Square of Some Generalized Hamming Graphs," Mathematics, MDPI, vol. 11(11), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2487-:d:1158045
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    References listed on IDEAS

    as
    1. Kinkar Ch. Das & Ji-Ming Guo, 2016. "Eigenvalues of the k-th power of a graph," Mathematische Nachrichten, Wiley Blackwell, vol. 289(13), pages 1585-1593, September.
    2. Liu, Xiaogang & Li, Binlong, 2016. "Distance powers of unitary Cayley graphs," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 272-280.
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