中国物理B ›› 2016, Vol. 25 ›› Issue (3): 30504-030504.doi: 10.1088/1674-1056/25/3/030504

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Empirical investigation of topological and weighted properties of a bus transport network from China

Shu-Min Feng(冯树民), Bao-Yu Hu(胡宝雨), Cen Nie(聂涔), Xiang-Hao Shen(申翔浩), Yu-Sheng Ci(慈玉生)   

  1. School of Transportations Science and Engineering, Harbin Institute of Technology, Harbin 150090, China
  • 收稿日期:2015-07-27 修回日期:2015-11-20 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Bao-Yu Hu E-mail:hubaoyu87@163.com
  • 基金资助:
    Project supported by the National High Technology Research and Development Program of China (Grant No. 2014AA110304).

Empirical investigation of topological and weighted properties of a bus transport network from China

Shu-Min Feng(冯树民), Bao-Yu Hu(胡宝雨), Cen Nie(聂涔), Xiang-Hao Shen(申翔浩), Yu-Sheng Ci(慈玉生)   

  1. School of Transportations Science and Engineering, Harbin Institute of Technology, Harbin 150090, China
  • Received:2015-07-27 Revised:2015-11-20 Online:2016-03-05 Published:2016-03-05
  • Contact: Bao-Yu Hu E-mail:hubaoyu87@163.com
  • Supported by:
    Project supported by the National High Technology Research and Development Program of China (Grant No. 2014AA110304).

摘要: Many bus transport networks (BTNs) have evolved into directed networks. A new representation model for BTNs is proposed, called directed-space P. The bus transport network of Harbin (BTN-H) is described as a directed and weighted complex network by the proposed representation model and by giving each node weights. The topological and weighted properties are revealed in detail. In-degree and out-degree distributions, in-weight and out-weight distributions are presented as an exponential law, respectively. There is a strong relation between in-weight and in-degree (also between out-weight and out-degree), which can be fitted by a power function. Degree-degree and weight-weight correlations are investigated to reveal that BTN-H has a disassortative behavior as the nodes have relatively high degree (or weight). The disparity distributions of out-degree and in-degree follow an approximate power-law. Besides, the node degree shows a near linear increase with the number of routes that connect to the corresponding station. These properties revealed in this paper can help public transport planners to analyze the status quo of the BTN in nature.

关键词: bus transport network, directed and weighted network, empirical distributions, correlations

Abstract: Many bus transport networks (BTNs) have evolved into directed networks. A new representation model for BTNs is proposed, called directed-space P. The bus transport network of Harbin (BTN-H) is described as a directed and weighted complex network by the proposed representation model and by giving each node weights. The topological and weighted properties are revealed in detail. In-degree and out-degree distributions, in-weight and out-weight distributions are presented as an exponential law, respectively. There is a strong relation between in-weight and in-degree (also between out-weight and out-degree), which can be fitted by a power function. Degree-degree and weight-weight correlations are investigated to reveal that BTN-H has a disassortative behavior as the nodes have relatively high degree (or weight). The disparity distributions of out-degree and in-degree follow an approximate power-law. Besides, the node degree shows a near linear increase with the number of routes that connect to the corresponding station. These properties revealed in this paper can help public transport planners to analyze the status quo of the BTN in nature.

Key words: bus transport network, directed and weighted network, empirical distributions, correlations

中图分类号:  (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

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