基于SNS社交网络的增长模型  

A growth model for social networking sites

作　　者：钱大千[1] 张晓东[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《合肥工业大学学报（自然科学版）》2010年第8期1264-1267,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10971137;10531070);973国家基础科研基金资助项目(2006CB300406);863国家高科技发展基金资助项目(2006AA01Z436)

摘　　要：随着网络信息技术的发展,社交网络(SNS)成为目前最热门的休闲交友平台。文章研究表明,这类网络具有3个典型的拓扑特征:幂律度分布、小平均距离和大聚集系数。为了进一步研究此类网络的拓扑结构及其动力学行为,文中基于社交网络的增长机制提出了一种二步式增长模型。运用平均场理论及数值仿真验证发现,该模型同时满足上述3个拓扑特征,符合社交网络的基本结构特性。The social networking sites（SNS） have become one of most popular platform for leisure and friends-making with the development of network information technology.It is discovered that this kind of network has three main topological features： small average distance,large clustering coefficient and power-law degree distribution.This paper presents a two-stage growth model according to the forming mechanism of SNS for further study of its topological features as well as dynamical behavior.It is shown by mean field theory and numerical simulation that this model owns the above three most important features of SNS.

关 键 词：社交网络 幂律分布 度分布 平均距离 聚集系数 增长模型 

分 类 号：N945[自然科学总论—系统科学]