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.
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.
基金
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.
