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The effect of weight heterogeneity on the shortest path of weighted Cayley network

Author

Listed:
  • Yuxi Han

    (Changzhou Wujin Second Senior High School, Changzhou 213149, P. R. China)

  • Bo Wu

    (School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, P. R. China)

Abstract

In this paper, we introduce the weighted Cayley network parameterized by three weight parameters r,q,g. The average weighted shortest path (AWSP) is calculated and its expression is derived. The results show that the AWSP of the network forms 10 laws with the range of weights r, q and g, and two laws based on single weight factor are generalized. From these 10 laws, we can see more clearly: When the average value of the weight factors (0

Suggested Citation

  • Yuxi Han & Bo Wu, 2025. "The effect of weight heterogeneity on the shortest path of weighted Cayley network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(05), pages 1-15, May.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:05:n:s012918312450219x
    DOI: 10.1142/S012918312450219X
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