The Concept of Elasticity of Scale-Free Networks

被引:0
|
作者
Shergin, Vadim [1 ]
Chala, Larysa [1 ]
机构
[1] Kharkiv Natl Univ Radio & Elect, Artificial Intelligence Dept, Kharkov, Ukraine
关键词
scale-free network; elasticity; graph density; preferentional linking; scaling factor; fractal;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The concept of elasticity of graphs is presented. Elasticity factor is a scale-free measure of graph density. Scale-free networks model with elasticity factor is proposed. Applying the concept of elasticity, i.e. the concept of different relative growth rates for links and nodes, makes it possible to generate scale-free models for dense networks. Also, the low bound of scaling factor domain of scale-free models is much lower when non-unit elasticity used. This feature expands the scope of scale-free models for networks having Zip's distribution of nodes degree.
引用
收藏
页码:257 / 260
页数:4
相关论文
共 50 条
  • [1] Exactly scale-free scale-free networks
    Zhang, Linjun
    Small, Michael
    Judd, Kevin
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 182 - 197
  • [2] Subnets of scale-free networks are not scale-free: Sampling properties of networks
    Stumpf, MPH
    Wiuf, C
    May, RM
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (12) : 4221 - 4224
  • [3] Scale-free networks
    Barabási, AL
    Bonabeau, E
    [J]. SCIENTIFIC AMERICAN, 2003, 288 (05) : 60 - 69
  • [4] Nucleation in scale-free networks
    Chen, Hanshuang
    Shen, Chuansheng
    Hou, Zhonghuai
    Xin, Houwen
    [J]. PHYSICAL REVIEW E, 2011, 83 (03):
  • [5] Scale-free networks are rare
    Anna D. Broido
    Aaron Clauset
    [J]. Nature Communications, 10
  • [6] Revisiting "scale-free" networks
    Keller, EF
    [J]. BIOESSAYS, 2005, 27 (10) : 1060 - 1068
  • [7] Scale-free networks in evolution
    Campos, PRA
    de Oliveira, VM
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 325 (3-4) : 570 - 576
  • [8] Scale-free networks on lattices
    Rozenfeld, AF
    Cohen, R
    ben-Avraham, D
    Havlin, S
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (21)
  • [9] Quasistatic scale-free networks
    Mukherjee, G
    Manna, SS
    [J]. PHYSICAL REVIEW E, 2003, 67 (01)
  • [10] Sandpile on scale-free networks
    Goh, KI
    Lee, DS
    Kahng, B
    Kim, D
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (14)