Degree correlations in the group preferential model

作者:Tong, Jinying*; Hou, Zhenting; Zhang, Zhenzhong; Kong, Xiangxing
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(27): 275002.
DOI:10.1088/1751-8113/42/27/275002

摘要

We focus on the study of degree correlations of the group preferential model, in which a link is established with a pre-existing vertex according to an attachment probability which depends on the degree of the m targeted vertices of the new vertex. By using the rate equation approach, we have obtained asymptotic expressions for two vertex and three vertex degree correlations. Finally, all analytical solutions are successfully contrasted with computer simulations.