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 scalefree distribution, and at the same time have the property of assortativemixing. 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.
谢逢洁, 崔文田, 王朴. 引入度传递性的社会增长网络模型[J]. J4, 2010, 7(7): 972-.
XIE Feng-Ji, CUI Wen-Tian, WANG Pu. The Model of Social Growing Network with Transitivity of Degree. J4, 2010, 7(7): 972-.