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Topological Self-Similar Networks Introduced by Diffusion-Limited Aggregation Mechanism
作者姓名:杨磊  裴文江  李涛  张晓明  何振亚
作者单位:[1]School of Information Science and Engineering, Southeast University, Nanjing 210096 [2]Department of Computer Science, Hong Kong Baptist University, Hong Kong
基金项目:Supported by the Natural Science Foundation of China under Grant No 60672095, the National High-Technology Project of China under Grant 2007AA11Z210, the Doctoral Fund of Ministry of Education of China under Grant 20070286004, and the Special Scientific Foundation for the "Eleventh-Five-Year" Plan of China.
摘    要:We propose a model for growing fractal networks based on the mechanisms learned from the diffusion-limited aggregation (DLA) model in fractal geometries in the viewpoint of network. By studying the DLA network, our model introduces multiplicative growth, aging and geographical preferential attachment mechanisms, whereby featuring topological self-similar property and hierarchical modularity. According to the results of theoretical analysis and simulation, the degree distribution of the proposed model shows a mixed degree distribution (i.e., exponential and algebraic degree distribution) and the fractal dimension and clustering coefficient can be tuned by changing the values of parameters.

关 键 词:拓扑学  扩散方法  聚集机制  代数  配电分布
收稿时间:2007-11-21

Topological Self-Similar Networks Introduced by Diffusion-Limited Aggregation Mechanism
YANG Lei,PEI Wen-Jiang,LI Tao,CHEUNG Yiu-Ming,HE Zhen-Ya.Topological Self-Similar Networks Introduced by Diffusion-Limited Aggregation Mechanism[J].Chinese Physics Letters,2008,25(3):1153-1156.
Authors:YANG Lei  PEI Wen-Jiang  LI Tao  CHEUNG Yiu-Ming  HE Zhen-Ya
Affiliation:School of Information Science and Engineering, Southeast University, Nanjing 210096Department of Computer Science, Hong Kong Baptist University, Hong Kong
Abstract:We propose a model for growing fractal networks based on the mechanisms learned from the diffusion-limited aggregation (DLA) model in fractal geometries in the viewpoint of network. By studying the DLA network, our model introduces multiplicative growth, aging and geographical preferential attachment mechanisms, whereby featuring topological self-similar property and hierarchical modularity. According to the results of theoretical analysis and simulation, the degree distribution of the proposed model shows a mixed degree distribution (i.e., exponential and algebraic degree distribution) and the fractal dimension and clustering coefficient can be tuned by changing the values of parameters.
Keywords:89  75  Hc  61  43  Hv
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