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Degree And Weighted Properties Of The Directed China Railway Network

Author

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  • LONG GUO

    (Complexity Science Center, Institute of Particle Physics, Huazhong (Central China) Normal University, Wuhan 430079, China)

  • XU CAI

    (Complexity Science Center, Institute of Particle Physics, Huazhong (Central China) Normal University, Wuhan 430079, China)

Abstract

As well known, many real complex systems are directed and weighted ones. For understanding the topology structure of the directed China Railway Network (CRN) further, we analyze the degree properties of the directed CRN and propose a new method to measure the weight of station (i.e., the utilized efficiency of station) in CRN according to how CRN works really. Rigorous analysis of the existing CRN data shows that the CRN is an assortative network with scale-free degree distribution in space L. On the other hand, the cumulative distribution of station's relative weight, the cumulative distribution of the shortest path length between stations, and the relationship between relative weight and in-(out-)degree have been studied. Our present work provides a new perspective to define the weight of transport complex network, which will be helpful for studying the dynamics of CRN.

Suggested Citation

  • Long Guo & Xu Cai, 2008. "Degree And Weighted Properties Of The Directed China Railway Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(12), pages 1909-1918.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:12:n:s012918310801331x
    DOI: 10.1142/S012918310801331X
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    Cited by:

    1. Yasir Tariq Mohmand & Aihu Wang, 2014. "Complex Network Analysis of Pakistan Railways," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-5, March.
    2. Hong, Liu & Ouyang, Min & Peeta, Srinivas & He, Xiaozheng & Yan, Yongze, 2015. "Vulnerability assessment and mitigation for the Chinese railway system under floods," Reliability Engineering and System Safety, Elsevier, vol. 137(C), pages 58-68.
    3. Xiaoguang Wei & Shibin Gao & Tao Huang & Tao Wang & Wenli Fan, 2019. "Identification of Two Vulnerability Features: A New Framework for Electrical Networks Based on the Load Redistribution Mechanism of Complex Networks," Complexity, Hindawi, vol. 2019, pages 1-14, January.
    4. Rui Ding & Jun Fu & Yiming Du & Linyu Du & Tao Zhou & Yilin Zhang & Siwei Shen & Yuqi Zhu & Shihui Chen, 2022. "Structural Evolution and Community Detection of China Rail Transit Route Network," Sustainability, MDPI, vol. 14(19), pages 1-19, September.

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