Random pseudofractal scale-free networks with small-world effect

被引:0
|
作者
L. Wang
F. Du
H. P. Dai
Y. X. Sun
机构
[1] State Key Laboratory of Industrial Control Technology,
[2] Institute of Industrial Process Control,undefined
[3] Zhejiang University,undefined
关键词
89.75.Hc Networks and genealogical trees ; 05.10.-a Computational methods in statistical physics and nonlinear dynamics;
D O I
暂无
中图分类号
学科分类号
摘要
A random pseudofractal network (RPN) is generated by a recursive growing rule. The RPN is of the scale-free feature and small-world effect. We obtain the theoretical results of power-law exponent γ=3, clustering coefficient C=3π2-19≈ 0.74, and a proof that the mean distance increases no faster than ln N, where N is the network size. These results agree with the numerical simulation very well. In particular, we explain the property of growth and preferential attachment in RPNs. And the properties of a class of general RPNs are discussed in the end.
引用
收藏
页码:361 / 366
页数:5
相关论文
共 50 条
  • [21] Evolving Apollonian networks with small-world scale-free topologies
    Zhang, Zhongzhi
    Rong, Lili
    Zhou, Shuigeng
    PHYSICAL REVIEW E, 2006, 74 (04)
  • [22] Unimodular lattice triangulations as small-world and scale-free random graphs
    Krueger, B.
    Schmidt, E. M.
    Mecke, K.
    NEW JOURNAL OF PHYSICS, 2015, 17
  • [23] Random Sierpinski network with scale-free small-world and modular structure
    Zhongzhi Zhang
    Shuigeng Zhou
    Zhan Su
    Tao Zou
    Jihong Guan
    The European Physical Journal B, 2008, 65 : 141 - 147
  • [24] Random Sierpinski network with scale-free small-world and modular structure
    Zhang, Zhongzhi
    Zhou, Shuigeng
    Su, Zhan
    Zou, Tao
    Guan, Jihong
    EUROPEAN PHYSICAL JOURNAL B, 2008, 65 (01): : 141 - 147
  • [25] Evolution of Scale-Free Wireless Sensor Networks with Feature of Small-World Networks
    Duan, Ying
    Fu, Xiuwen
    Li, Wenfeng
    Zhang, Yu
    Fortino, Giancarlo
    COMPLEXITY, 2017,
  • [26] Building scale-free overlay mix networks with small-world properties
    Lu, TB
    Fang, BX
    Sun, YZ
    Cheng, XQ
    Guo, L
    THIRD INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND APPLICATIONS, VOL 2, PROCEEDINGS, 2005, : 529 - 534
  • [27] Trapping on modular scale-free and small-world networks with multiple hubs
    Chen, Jin
    Dai, Meifeng
    Wen, Zhixiong
    Xi, Lifeng
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 393 : 542 - 552
  • [28] Growing scale-free small-world networks with tunable assortative coefficient
    Guo, Qiang
    Zhou, Tao
    Liu, Jian-Guo
    Bai, Wen-Jie
    Wang, Bing-Hong
    Zhao, Ming
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 371 (02) : 814 - 822
  • [29] Investigating small-world and scale-free structure of earthquake networks in Greece
    Chorozoglou, D.
    Papadimitriou, E.
    Kugiumtzis, D.
    CHAOS SOLITONS & FRACTALS, 2019, 122 : 143 - 152
  • [30] Standard random walks and trapping on the Koch network with scale-free behavior and small-world effect
    Zhang, Zhongzhi
    Zhou, Shuigeng
    Xie, Wenlei
    Chen, Lichao
    Lin, Yuan
    Guan, Jihong
    PHYSICAL REVIEW E, 2009, 79 (06)