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

被引：16
|
作者：
Chen, Jin [1 ]
Dai, Meifeng [2 ]
Wen, Zhixiong [1 ]
Xi, Lifeng [3 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Zhejiang, Peoples R China
[3] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 393卷
关键词：
Trapping problem; Random walk; Multiple hubs; Scale-free networks; Small-world networks; Mean first-passage time;
D O I：
10.1016/j.physa.2013.08.060
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：542 / 552
页数：11
相关论文
共 50 条
  • [1] Controlling the efficiency of trapping in a scale-free small-world network
    Yuan Lin
    Zhongzhi Zhang
    Scientific Reports, 4
  • [2] Controlling the efficiency of trapping in a scale-free small-world network
    Lin, Yuan
    Zhang, Zhongzhi
    SCIENTIFIC REPORTS, 2014, 4
  • [3] Deterministic weighted scale-free small-world networks
    Zhang, Yichao
    Zhang, Zhongzhi
    Zhou, Shuigeng
    Guan, Jihong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (16) : 3316 - 3324
  • [4] EDITORIAL: BEYOND SMALL-WORLD AND SCALE-FREE NETWORKS
    Xiao, Gaoxi
    Kertesz, Janos
    ADVANCES IN COMPLEX SYSTEMS, 2010, 13 (01): : 1 - 2
  • [5] Complex networks: Small-world, scale-free and beyond
    Wang, Xiao Fan
    Chen, Guanrong
    IEEE Circuits and Systems Magazine, 2003, 3 (01) : 6 - 20
  • [6] Community structure in small-world and scale-free networks
    Du Hai-Feng
    Li Shu-Zhuo
    Marcus, W. F.
    Yue Zhong-Shan
    Yang Xu-Song
    ACTA PHYSICA SINICA, 2007, 56 (12) : 6886 - 6893
  • [7] Evaluating the transport in small-world and scale-free networks
    Juarez-Lopez, R.
    Obregon-Quintana, B.
    Hernandez-Perez, R.
    Reyes-Ramirez, I.
    Guzman-Vargas, L.
    CHAOS SOLITONS & FRACTALS, 2014, 69 : 100 - 106
  • [8] Scale-free and small-world properties of Sierpinski networks
    Wang, Songjing
    Xi, Lifeng
    Xu, Hui
    Wang, Lihong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 465 : 690 - 700
  • [9] 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
  • [10] 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
12345