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The gateway coefficient: a novel metric for identifying critical connections in modular networks

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  • Estefania Ruiz Vargas
  • Lindi M. Wahl

Abstract

The modular structure of a complex network is an important and well-studied topological property. Within this modular framework, particular nodes which play key roles have been previously identified based on the node’s degree, and on the node’s participation coefficient, a measure of the diversity of a node’s intermodular connections. In this contribution, we develop a generalization of the participation coefficient, called the gateway coefficient, which measures not only the diversity of the intermodular connections, but also how critical these connections are to intermodular connectivity; in brief, nodes which form rare or unique “gateways” between sparsely connected modules rank highly in this measure. We illustrate the use of the gateway coefficient with simulated networks with defined modular structure, as well as networks obtained from air transportation data and functional neuroimaging. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Estefania Ruiz Vargas & Lindi M. Wahl, 2014. "The gateway coefficient: a novel metric for identifying critical connections in modular networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(7), pages 1-10, July.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:7:p:1-10:10.1140/epjb/e2014-40800-7
    DOI: 10.1140/epjb/e2014-40800-7
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    Cited by:

    1. Başpınar, Barış & Gopalakrishnan, Karthik & Koyuncu, Emre & Balakrishnan, Hamsa, 2023. "An empirical study of the resilience of the US and European air transportation networks," Journal of Air Transport Management, Elsevier, vol. 106(C).
    2. Cheung, Tommy K.Y. & Wong, Collin W.H. & Zhang, Anming, 2020. "The evolution of aviation network: Global airport connectivity index 2006–2016," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    3. Zhang, Yuerong & Marshall, Stephen & Manley, Ed, 2021. "Understanding the roles of rail stations: Insights from network approaches in the London metropolitan area," Journal of Transport Geography, Elsevier, vol. 94(C).

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    Keywords

    Statistical and Nonlinear Physics;

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