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NEW METHOD TO ESTIMATE SCALING EXPONENTS OF POWER-LAW DEGREE DISTRIBUTION AND HIERARCHICAL CLUSTERING FUNCTION FOR COMPLEX NETWORKS
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：N94[自然科学总论—系统科学]
  • 作者机构：[1]Antai College of Economics and Management, Shanghai Jiaotong University, Shanghai 200030, P. R. China, [2]School of Business Administration, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos.70431002, 70401019）
作者： 杨波[1], 段文奇[2], 陈忠[1]
关键词： 参量估计, 复合网络, 功率定理, 次数分布分级模块性, parameter estimation, complex networks, power-law, degree distribution hierarchical modularity
中文摘要：

<正>A new method and corresponding numerical procedure are introduced to estimate scaling exponents of power-law degree distribution and hierarchical clustering function for complex networks. This method can overcome the biased and inaccurate faults of graphical linear fitting methods commonly used in current network research. Furthermore, it is verified to have higher goodness-of-fit than graphical methods by comparing the KS (Kolmogorov-Smirnov) test statistics for 10 CNN (Connecting Nearest-Neighbor) networks.

英文摘要：

A new method and corresponding numerical procedure are introduced to estimate scaling exponents of power-law degree distribution and hierarchical clustering function for complex networks. This method can overcome the biased and inaccurate faults of graphical linear fitting methods commonly used in current network research. Furthermore, it is verified to have higher goodness-of-fit than graphical methods by comparing the KS （Kolmogorov-Smirnov） test statistics for 10 CNN （Connecting Nearest-Neighbor） networks.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541