基于社会中的间接关系给人带来效用的特点,在BA模型的择优连接机制中引入度的传递性概念,建立社会增长网络模型。理论分析和数值模拟表明,模型所生成的网络表现出介于指数分布和无标度分布之间的度分布特征,且具有明显的同配性,因此,度的传递性可以很好地解释社会网络的度分布特性和度相关性的成因。
Based on the characteristics that the indirect relation can bring about the utility for individual in society,the transitivity of degree is introduced in the 'preferential connectivity' mechanism of BA model,and the model of social growing network is built.Theoretic analyses and simulation results show that the networks generated by current model display the property of degree distribution falling between the exponential distribution and scale-free distribution,and at the same time have the property of assortative-mixing.Therefore,the transitivity of degree can explain the cause of formation for the properties of the degree distribution and the degree correlations of social networks.