Topological Self-Similar Networks Introduced by Diffusion-Limited Aggregation Mechanism
YANG Lei1, PEI Wen-Jiang1, LI Tao1, CHEUNG Yiu-Ming2, HE Zhen-Ya1
1School of Information Science and Engineering, Southeast University, Nanjing 2100962Department of Computer Science, Hong Kong Baptist University, Hong Kong
Topological Self-Similar Networks Introduced by Diffusion-Limited Aggregation Mechanism
YANG Lei1;PEI Wen-Jiang1;LI Tao1;CHEUNG Yiu-Ming2;HE Zhen-Ya1
1School of Information Science and Engineering, Southeast University, Nanjing 2100962Department of Computer Science, Hong Kong Baptist University, Hong Kong
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.
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.
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2008, Vol. 25 
