Lattice scale-free networks with weighted linking

被引:16
|
作者
Yang, Kongqing [1 ,2 ]
Huang, Liang [3 ]
Yang, Lei [4 ,5 ]
机构
[1] Institute of Applied Physics, Jimei University, Xiamen 361021, China
[2] Sch. of Phys. Science and Technology, Lanzhou University, Lanzhou 730000, China
[3] Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
[4] Center for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, Hong Kong
[5] Department of Physics, Lanzhou University, Lanzhou 730000, China
基金
中国国家自然科学基金;
关键词
Boundary conditions - Functions - Graph theory - Mathematical models - Statistical methods;
D O I
10.1103/PhysRevE.70.015102
中图分类号
学科分类号
摘要
A linking weighted scale free (SF) networks embedded on a 2 dimensional (2D) Euclidean lattice was discussed. The properties of weighted lattice embedded scale-free (WLSEF) model was discussed using computer simulation. An additional parameter for controling the clustering coefficient was introduced for the WLSEF model. Percolations on the WLSEF and scale free random model (SFR) models were also considered. It was observed that the WLSEF model gave a smooth transition from LESF to SFR.
引用
收藏
页码:015102 / 1
相关论文
共 50 条
  • [21] Weighted scale-free networks with stochastic weight assignments
    Zheng, DF
    Trimper, S
    Zheng, B
    Hui, PM
    PHYSICAL REVIEW E, 2003, 67 (04):
  • [22] A Local Routing Strategy on Weighted Scale-Free Networks
    Wang, Xiao-Xi
    Chen, Guo-Long
    PROCEEDINGS OF THE 2012 INTERNATIONAL CONFERENCE ON COMMUNICATION, ELECTRONICS AND AUTOMATION ENGINEERING, 2013, 181 : 1163 - 1168
  • [23] AN EFFICIENT WEIGHTED ROUTING STRATEGY FOR SCALE-FREE NETWORKS
    Jiang, Zhong-Yuan
    Liang, Man-Gui
    Huang, Jian-Ling
    Li, Qian
    MODERN PHYSICS LETTERS B, 2012, 26 (29):
  • [24] Evolution of weighted scale-free networks in empirical data
    Eom, Y. -H.
    Jeon, C.
    Jeong, H.
    Kahng, B.
    PHYSICAL REVIEW E, 2008, 77 (05):
  • [25] Epidemic spreading on adaptively weighted scale-free networks
    Sun, Mengfeng
    Zhang, Haifeng
    Kang, Huiyan
    Zhu, Guanghu
    Fu, Xinchu
    JOURNAL OF MATHEMATICAL BIOLOGY, 2017, 74 (05) : 1263 - 1298
  • [26] Epidemic spreading on adaptively weighted scale-free networks
    Mengfeng Sun
    Haifeng Zhang
    Huiyan Kang
    Guanghu Zhu
    Xinchu Fu
    Journal of Mathematical Biology, 2017, 74 : 1263 - 1298
  • [27] A global routing method for weighted scale-free networks
    Pu Cun-Lai
    Pei Wen-Jiang
    ACTA PHYSICA SINICA, 2010, 59 (06) : 3841 - 3845
  • [28] Biology helps to construct weighted scale-free networks
    Ramezanpour, A
    EUROPHYSICS LETTERS, 2004, 68 (02): : 316 - 322
  • [29] Percolation of Mobile Individuals on Weighted Scale-Free Networks
    Wu An-Cai
    CHINESE PHYSICS LETTERS, 2011, 28 (11)
  • [30] Exactly scale-free scale-free networks
    Zhang, Linjun
    Small, Michael
    Judd, Kevin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 182 - 197