中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90510-090510.doi: 10.1088/1674-1056/19/9/090510

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Hierarchy property of traffic networks

李科赞1, 周进2, 曾明华3, 李夏苗4   

  1. (1)School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, China; (2)School of Mathematics Statistics, Wuhan University, Wuhan 430072, China; (3)School of Traffic and Transport Engineering, Central South University, Changsha 410075, China; (4)School of Traffic and Transport Engineering, Central South University, Changsha 410075, China; State Key Laboratory of Rail Traffic Control and Safety (Beijing Jiaotong University), Beijing 100044, China
  • 收稿日期:2008-12-25 修回日期:2010-02-25 出版日期:2010-09-15 发布日期:2010-09-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60964006), the Scientific Research Innovation Fund Project for Graduate Student of Hunan, China (Grant No. 3340-74236000003), and the Open Program of State Key Laboratory of

Hierarchy property of traffic networks

Li Xia-Miao(李夏苗)a)b),Zeng Ming-Hua(曾明华)a), Zhou Jin(周进)c), and Li Ke-Zan(李科赞)d)   

  1. a School of Traffic and Transport Engineering, Central South University, Changsha 410075, China; b State Key Laboratory of Rail Traffic Control and Safety (Beijing Jiaotong University), Beijing 100044, China; c School of Mathematics Statistics, Wuhan University, Wuhan 430072, China; d School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, China
  • Received:2008-12-25 Revised:2010-02-25 Online:2010-09-15 Published:2010-09-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60964006), the Scientific Research Innovation Fund Project for Graduate Student of Hunan, China (Grant No. 3340-74236000003), and the Open Program of State Key Laboratory of Rail Traffic Control and Safety (Beijing Jiaotong University), China (Grant No. 2007K-0027).

摘要: The flourishing complex network theory has aroused increasing interest in studying the properties of real-world networks. Based on the traffic network of Chang--Zhu--Tan urban agglomeration in central China, some basic network topological characteristics were computed with data collected from local traffic maps, which showed that the traffic networks were small-world networks with strong resilience against failure; more importantly, the investigations of assortativity coefficient and average nearest-neighbour degree implied the disassortativity of the traffic networks. Since traffic network hierarchy as an important basic property has been neither studied intensively nor proved quantitatively, the authors are inspired to analyse traffic network hierarchy with disassortativity and to finely characterize hierarchy in the traffic networks by using the n-degree--n-clustering coefficient relationship. Through numerical results and analyses an exciting conclusion is drawn that the traffic networks exhibit a significant hierarchy, that is, the traffic networks are proved to be hierarchically organized. The result provides important information and theoretical groundwork for optimal transport planning.

Abstract: The flourishing complex network theory has aroused increasing interest in studying the properties of real-world networks. Based on the traffic network of Chang–Zhu–Tan urban agglomeration in central China, some basic network topological characteristics were computed with data collected from local traffic maps, which showed that the traffic networks were small-world networks with strong resilience against failure; more importantly, the investigations of assortativity coefficient and average nearest-neighbour degree implied the disassortativity of the traffic networks. Since traffic network hierarchy as an important basic property has been neither studied intensively nor proved quantitatively, the authors are inspired to analyse traffic network hierarchy with disassortativity and to finely characterize hierarchy in the traffic networks by using the n-degree–n-clustering coefficient relationship. Through numerical results and analyses an exciting conclusion is drawn that the traffic networks exhibit a significant hierarchy, that is, the traffic networks are proved to be hierarchically organized. The result provides important information and theoretical groundwork for optimal transport planning.

Key words: traffic network, hierarchy property, n-clustering coefficient, disassortativity

中图分类号: 

  • 0565