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《Mathematics in Practice and Theory》 2018-06
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Complex Network's Competitive Growth Model with Degree Inheritance

GU Hua-lu;University of Chinese Academy of Sciences;School of Economics and Management, University of Chinese Academy of Sciences;Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences;  
Complex network is a kind of network between regular network and stochastic network. Inspired by biological evolution, we introduced resource competition and genetic inheritance into the growth process of network, and proposed a new growth model with the priority connection of scale-free network. Emulated analysis shows that the network model of competitive growth is no longer power-law, but it obeys exponential distribution. The competitive growth model of degree-characteristic inheritance is negative skew. And it shows a linear relationship between the logarithm of average degree and the network size which is also proved by the mathematical deduction. The new model enhances the ability of resisting malicious attacks. And it is related with the genetic coefficient. In addition, the average clustering coefficient of network decreases with the increase of the genetic coefficient, while the average path length increases with the increase of the inherited coefficient. The whole model is topologically tunable. Different combinations of parameters can produce network models with different properties.
【CateGory Index】: O157.5
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