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Sensitivity metrics of complex network based on co-occurrence truth table: exemplified by a high-speed rail network

Author

Listed:
  • Juanjuan Luo

    (Wuhan University)

  • Teng Fei

    (Wuhan University)

  • Meng Tian

    (Yangzhou University)

  • Yifei Liu

    (Wuhan University)

  • Meng Bian

    (Wuhan University)

Abstract

As a mathematical scaffold for network science, graph theory abstracts complex systems into complex networks. However, graphs ignore the multiplicity of combinatorial relationships in network systems, leading to limitations in graph-based metrics reflecting the importance of nodes. To address the shortcomings of graphs in describing network complexity, this study proposes the use of co-occurrence pattern truth tables to represent the combinations of multiple nodes in a network. Based on this, the concept of positive sensitivity is proposed to measure one aspect of the importance of nodes in a network. In addition, network sensitivity is proposed to depict the robustness of the network. The proposed approach is verified to be workable with Monte Carlo simulations and a real network exemplified by the high-speed rail network, constructed with provincial capitals of China as nodes. The results in comparison with traditional graph theory-based indices show that both the nodes and the network are assessed with reasonable results different from those of the graph-derived metrics. This study focuses on the combinatorial relationships of nodes in networks, providing a new perspective for the analysis of complex networks.

Suggested Citation

  • Juanjuan Luo & Teng Fei & Meng Tian & Yifei Liu & Meng Bian, 2023. "Sensitivity metrics of complex network based on co-occurrence truth table: exemplified by a high-speed rail network," Journal of Geographical Systems, Springer, vol. 25(4), pages 519-538, October.
    • Handle: RePEc:kap:jgeosy:v:25:y:2023:i:4:d:10.1007_s10109-023-00419-8
    DOI: 10.1007/s10109-023-00419-8
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    References listed on IDEAS

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    More about this item

    Keywords

    Complex network; Node importance; Network sensitivity; Boolean function; Co-occurrence truth table;
    All these keywords.

    JEL classification:

    • L92 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Railroads and Other Surface Transportation
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
    • R42 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government and Private Investment Analysis; Road Maintenance; Transportation Planning

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