Rank-Size Form of Zipf”s Law and Its Probability Interpretation Based on Random Graph Dynamics

摘要：

The earliest published example of a network generated by a rich-get-richer process is Price”s network of citations between scientific papers.Price”s network may be viewed as a directed graph each of whose edges corresponds to a citation from a paper to another.We develop a new model mixing random and preferential attachment effects and derive a Zipf”s ranked distribution.The latter says that the probability of a link (a citation or a directed edge) being pointed to vertex i,the ith most advantageous vertex,is approximately a power function of i.

关键词： statistical methods scientific computing scientometrics Zipf”s law

作者: SUN Jingwei SHAN Shi ZHANG Yifei

作者单位: School of International Business Administration,Shanghai University of Finance and Economics, Shangh Center for Information Studies, Shanghai University, Shanghai 200444, China

会议类型: 国内会议

会议名称: 第六届科学计量学与大学评价国际研讨会

会议地点: 武汉

会议语种:英文

页码: 169-171,181

在线出版日期: 2010-11-05（万方平台首次上网日期，不代表论文的发表时间）