中国物理B ›› 2012, Vol. 21 ›› Issue (2): 28904-028904.doi: 10.1088/1674-1056/21/2/028904

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

邹志云,刘鹏,雷立,高健智   

  • 收稿日期:2011-07-15 修回日期:2011-09-28 出版日期:2012-01-30 发布日期:2012-01-30
  • 通讯作者: 刘鹏,lpengn@yahoo.cn E-mail:lpengn@yahoo.cn

An evolving network model with modular growth

Zou Zhi-Yun(邹志云), Liu Peng(刘鹏), Lei Li(雷立), and Gao Jian-Zhi(高健智)   

  1. School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2011-07-15 Revised:2011-09-28 Online:2012-01-30 Published:2012-01-30
  • Contact: Liu Peng,lpengn@yahoo.cn E-mail:lpengn@yahoo.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51078165) and the Fundamental Research Funds for Central Universities, China (Grant No. HUST 2010MS030).

Abstract: In this paper, we propose an evolving network model growing fast in units of module, according to the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected nodes and the nodes between the modules are linked by preferential attachment on degree of nodes. We study the modularity measure of the proposed model, which can be adjusted by changing the ratio of the number of inner-module edges and the number of inter-module edges. In view of the mean-field theory, we develop an analytical function of the degree distribution, which is verified by a numerical example and indicates that the degree distribution shows characteristics of the small-world network and the scale-free network distinctly at different segments. The clustering coefficient and the average path length of the network are simulated numerically, indicating that the network shows the small-world property and is affected little by the randomness of the new module.

Key words: evolving, modular growth, small-world network, scale-free network

中图分类号:  (Networks and genealogical trees)

  • 89.75.Hc
05.10.-a (Computational methods in statistical physics and nonlinear dynamics)