团体择优广义合作网络的度相关性分析  

The degree correlations of generalized collaboration network with group preferential attachment

作　　者：张野[1] 孔祥星[2] 

机构地区：[1]长沙航空职业技术学院继续教育学院,湖南长沙410116 [2]中南大学数学与统计学院,湖南长沙410075

出　　处：《河北工业大学学报》2013年第5期77-79,共3页Journal of Hebei University of Technology

基　　金：国家自然科学基金(11071258;11101433)

摘　　要：对团体择优广义合作网络模型的度相关性问题进行了分析,其中,新加入的节点以团体择优机制选择T-1个合作者共同参与一个合作项目.首先,用平均场方法对网络的度分布进行了分析,结果表明该网络模型是一个度指数为T+1的无标度网络.然后,用率方程方法得到了节点邻居的平均度,所得结果显示节点邻居的平均度是节点度的增函数,从而该模型是一个同类匹配的复杂网络.We focus on the study of degree correlations of the generalized collaboration network, in which the T-1 collaborators are selected with the group preferential attachment. The degree distribution is obtained by the mean field theory,which means that this generalized collaboration network is scale free with exponent T+1. By using the rate equation approach, the asymptotic expressions for the average degree of the nearest neighbors of vertex of degree k is obtained which is an increasing function of k. The analytical result shows that the network is assortative mixing.

关 键 词：复杂网络 广义合作网络 度分布 度相关性 同类匹配 

分 类 号：O157.5[理学—数学]