The degree distribution of generalized collaboration network with group preferential attachment

Inspired by the idea of team competition,ageneralized collaboration network with group preferential attachment is proposed,in which the new vertex will join a complete graph with T-1 vertices chosen from the existing network preferentially.Based on the techniques of Markov chain theory,the existence of the steady degree distribution is proved,and the expressions for the degree distribution are obtained.Theoretical results show that this generalized collaboration network is a scale free network with degree exponent γ=T+1.