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Trapping on modular scale-free and small-world networks with multiple hubs

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  • Chen, Jin
  • Dai, Meifeng
  • Wen, Zhixiong
  • Xi, Lifeng

Abstract

In this paper we introduce a new kind of scale-free and small-world networks with multiple hubs based on classic networks and present the trapping problem on them. We show that in the multiple-hub networks, the growth of MFPT with the traps located on the hub or peripheral nodes displays quite a difference from the single-hub networks. Our conclusions are directed to possible applications in rumor or epidemic spreading phenomena.

Suggested Citation

  • Chen, Jin & Dai, Meifeng & Wen, Zhixiong & Xi, Lifeng, 2014. "Trapping on modular scale-free and small-world networks with multiple hubs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 542-552.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:542-552
    DOI: 10.1016/j.physa.2013.08.060
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    References listed on IDEAS

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    1. Barabási, Albert-László & Ravasz, Erzsébet & Vicsek, Tamás, 2001. "Deterministic scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(3), pages 559-564.
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    Cited by:

    1. He, Jia & Xue, Yumei, 2018. "Scale-free and small-world properties of hollow cube networks," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 11-15.
    2. Huang, Yuke & Zhang, Hanxiong & Zeng, Cheng & Xue, Yumei, 2020. "Scale-free and small-world properties of a multiple-hub network with fractal structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    3. 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.
    4. Chen, Lei & Kou, Yingxin & Li, Zhanwu & Xu, An & Wu, Cheng, 2018. "Empirical research on complex networks modeling of combat SoS based on data from real war-game, Part I: Statistical characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 754-773.

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