[1]王志如,梁作论,袁竞峰,等.地铁网络无标度特性分析[J].东南大学学报(自然科学版),2013,43(4):895-899.[doi:10.3969/j.issn.1001-0505.2013.04.041]
 Wang Zhiru,Liang Zuolun,Yuan Jingfeng,et al.Scale-free analysis of subway network[J].Journal of Southeast University (Natural Science Edition),2013,43(4):895-899.[doi:10.3969/j.issn.1001-0505.2013.04.041]
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地铁网络无标度特性分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
43
期数:
2013年第4期
页码:
895-899
栏目:
交通运输工程
出版日期:
2013-07-20

文章信息/Info

Title:
Scale-free analysis of subway network
作者:
王志如1梁作论2袁竞峰1李启明1
1东南大学土木工程学院, 南京210096; 2中国电子科技集团公司南京第十四研究所, 南京210031
Author(s):
Wang Zhiru1 Liang Zuolun2 Yuan Jingfeng1 Li Qiming1
1School of Civil Engineering, Southeast University, Nanjing 210096, China
2The Fourteenth Research Institute of China Electronics Technology Group Corporation, Nanjing 210031, China
关键词:
地铁网络 复杂网络 无标度 漂移幂律
Keywords:
subway network complex network scale-free shifted power law
分类号:
U231.92
DOI:
10.3969/j.issn.1001-0505.2013.04.041
摘要:
以经过地铁车站的拓扑线路数目作为评价地铁网络度分布的量化标准,通过最小二乘法(OLS)对统计数据非线性回归拟合,得到地铁网络度分布函数.首先,定义了地铁网络拓扑线路;其次,提出节点度和节点度分布的计算方法;最后,对52个地铁网络样本做非线性回归拟合.结果显示,52个地铁网络节点度分布能够被漂移幂律函数拟合,且地铁车站数目大于300的地铁网络,标度系数-b在2~3之间,且常量a在0~1范围内,这表明地铁网络度分布介于指数分布和幂律分布之间,这一结果与实际现象相吻合.
Abstract:
The number of topological lines that passes by subway station is taken as the quantitative criteria of the degree distribution of metro networks and the degree distribution function is fitted by the nonlinear ordinary least squares(OLS method). First, the topological line is defined and the calculation methods of degree and degree distribution are proposed. Finally, statistical analysis of 52 metro network samples is carried out. The results show that the degree distribution of 52 subway networks can be fitted by SPL(shifted power law)function, and the scale factor -b falls in the range of 2 to 3 for large networks of more than 300 stations and 0<a<1, which indicates that degree distribution of subway networks is between exponential and power law distribution. This conclusion coincides with actual evolution of subway networks.

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备注/Memo

备注/Memo:
作者简介: 王志如(1984—),女,博士生;李启明(联系人),男,博士,教授,博士生导师,njlqming@163.com.
基金项目: 国家自然科学基金资助项目(51178116,71001027)、东南大学江苏省高校优势学科建设工程资助项目.
引文格式: 王志如,梁作论,袁竞峰,等.地铁网络无标度特性分析[J].东南大学学报:自然科学版,2013,43(4):895-899. [doi:10.3969/j.issn.1001-0505.2013.04.041]
更新日期/Last Update: 2013-07-20