Scale-free networks without growth

被引:88
作者
Xie, Yan-Bo [1 ]
Zhou, Tao [1 ]
Wang, Bing-Hong [1 ]
机构
[1] Univ Sci & Technol China, Nonlinear Sci Ctr, Dept Modern Phys, Hefei 230026, Peoples R China
基金
中国国家自然科学基金;
关键词
complex networks; modelling; scale-free network;
D O I
10.1016/j.physa.2007.11.005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we proposed an ungrowing scale-free network model, indicating the growth may not be a necessary condition of the self-organization of a network in a scale-free structure. The analysis shows that the degree distributions of the present model can varying from the Poisson form to the power-law form with the decrease of a free parameter a. This model provides a possible mechanism for the evolution of some scale-free networks with fixed size, such as the friendship networks of school children and the functional networks of the human brain. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1683 / 1688
页数:6
相关论文
共 30 条
[1]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[2]   Scale-free networks from a Hamiltonian dynamics [J].
Baiesi, M ;
Manna, SS .
PHYSICAL REVIEW E, 2003, 68 (04)
[3]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[4]   Correlated random networks -: art. no. 228701 [J].
Berg, J ;
Lässig, M .
PHYSICAL REVIEW LETTERS, 2002, 89 (22) :228701-228701
[5]  
Bollobas B., 2001, CAMBRIDGE STUDIES AD, V73
[6]   Growing dynamics of Internet providers [J].
Capocci, A ;
Caldarelli, G ;
Marchetti, R ;
Pietronero, L .
PHYSICAL REVIEW E, 2001, 64 (03) :4-351054
[7]   Characterization of complex networks: A survey of measurements [J].
Costa, L. Da F. ;
Rodrigues, F. A. ;
Travieso, G. ;
Boas, P. R. Villas .
ADVANCES IN PHYSICS, 2007, 56 (01) :167-242
[8]   Structure of growing networks with preferential linking [J].
Dorogovtsev, SN ;
Mendes, JFF ;
Samukhin, AN .
PHYSICAL REVIEW LETTERS, 2000, 85 (21) :4633-4636
[9]   Evolution of networks [J].
Dorogovtsev, SN ;
Mendes, JFF .
ADVANCES IN PHYSICS, 2002, 51 (04) :1079-1187
[10]   Scale-free brain functional networks -: art. no. 018102 [J].
Eguíluz, VM ;
Chialvo, DR ;
Cecchi, GA ;
Baliki, M ;
Apkarian, AV .
PHYSICAL REVIEW LETTERS, 2005, 94 (01)