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

Yuxi Han and Bo Wu
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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

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 05, 1-15

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 (0Keywords: Weighted Cayley networks; heterogeneity; average shortest path (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S012918312450219X

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