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Scaling of average weighted shortest path and average receiving time on the weighted Cayley networks

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  • Niu, Min
  • Song, Shuaishuai

Abstract

In this paper, we mainly study two important properties of weighted Cayley networks depending on a weight factor r. The weight factor makes it more difficult to calculate the topological characteristics such as average weighted shortest path (AWSP) and average receiving time (ART) of the networks. We first calculate some basic network measurements such as average degree and average node strength. Then we derive the expression for AWSP and show that it stays bounded with network order growing (0

Suggested Citation

  • Niu, Min & Song, Shuaishuai, 2018. "Scaling of average weighted shortest path and average receiving time on the weighted Cayley networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 707-717.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:707-717
    DOI: 10.1016/j.physa.2018.04.087
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    References listed on IDEAS

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    1. Dai, Meifeng & Chen, Dandan & Dong, Yujuan & Liu, Jie, 2012. "Scaling of average receiving time and average weighted shortest path on weighted Koch networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6165-6173.
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    6. Dai, Meifeng & Shao, Shuxiang & Su, Weiyi & Xi, Lifeng & Sun, Yanqiu, 2017. "The modified box dimension and average weighted receiving time of the weighted hierarchical graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 46-58.
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    Cited by:

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    3. Hu, Zhongren & Wu, Bo, 2023. "The average shortest distance of three colored substitution networks," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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