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
来源：
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2004年 / 70卷 / 1 2期
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
  • [31] Synchronization in lattice-embedded scale-free networks
    Tauro, Carolina B.
    Tamarit, Francisco A.
    Gleiser, Pablo M.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (03) : 834 - 842
  • [32] Scale-Free Networks Using Local Information for Preferential Linking
    Aldridge, C.
    MODSIM 2005: INTERNATIONAL CONGRESS ON MODELLING AND SIMULATION: ADVANCES AND APPLICATIONS FOR MANAGEMENT AND DECISION MAKING: ADVANCES AND APPLICATIONS FOR MANAGEMENT AND DECISION MAKING, 2005, : 1196 - 1202
  • [33] Subnets of scale-free networks are not scale-free: Sampling properties of networks
    Stumpf, MPH
    Wiuf, C
    May, RM
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (12) : 4221 - 4224
  • [34] Scale-free network topology and multifractality in a weighted planar stochastic lattice
    Hassan, M. K.
    Hassan, M. Z.
    Pavel, N. I.
    NEW JOURNAL OF PHYSICS, 2010, 12
  • [35] Explosive percolation on a scale-free multifractal weighted planar stochastic lattice
    Rahman, M. M.
    Hassan, M. K.
    PHYSICAL REVIEW E, 2017, 95 (04)
  • [36] Scale-free networks emerging from weighted random graphs
    Kalisky, T
    Sreenivasan, S
    Braunstein, LA
    Buldyrev, SV
    Havlin, S
    Stanley, HE
    PHYSICAL REVIEW E, 2006, 73 (02)
  • [37] Explosive transitions to synchronization in weighted static scale-free networks
    Liuhua Zhu
    Liang Tian
    Daning Shi
    The European Physical Journal B, 2013, 86
  • [38] A hardware upgrade control strategy in weighted scale-free networks
    Liu, Zhanghui
    Tang, Zhenli
    Guo, Wenzhong
    Liu, Genggeng
    2011 INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND NETWORK TECHNOLOGY (ICCSNT), VOLS 1-4, 2012, : 1707 - 1710
  • [39] 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
  • [40] Explosive transitions to synchronization in weighted static scale-free networks
    Zhu, Liuhua
    Tian, Liang
    Shi, Daning
    EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (11):
12345