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Certain Structural Properties for the Direct Product of Cayley Graphs and Their Theoretical Applications

Author

Listed:
  • Li Wang
  • Xiaohan Ye
  • Weihua Yang
  • G. Muhiuddin

Abstract

Symmetry properties are of vital importance for graphs. The famous Cayley graph is a good mathematical model as its high symmetry. The normality of the graph can well reflect the symmetry of the graph. In this paper, we characterize the normality of the direct product of Cayley graphs and give a sufficient and necessary condition for the direct product of two graphs to be a Cayley graph. Moreover, a sufficient and necessary condition for judging the normality of the direct product of two graphs is given.

Suggested Citation

  • Li Wang & Xiaohan Ye & Weihua Yang & G. Muhiuddin, 2024. "Certain Structural Properties for the Direct Product of Cayley Graphs and Their Theoretical Applications," Journal of Mathematics, Hindawi, vol. 2024, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:8825307
    DOI: 10.1155/2024/8825307
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