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Measure of layer centrality in multilayer network

Author

Listed:
  • Xiao Chen

    (School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P. R. China)

  • Zhe-Ming Lu

    (School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P. R. China)

Abstract

Many real-world complex systems consist of a set of basic units that are connected by different kinds of relationships. All types of such systems can be described by a multilayer network, where each link represents different types of interaction among the same set of nodes. In this paper, we present a general framework to characterize the influences (centrality) of layers. Furthermore, we propose two measures for layer centrality in terms of network connectivity under this framework. The basic idea of our measures consists in assigning more centrality value to layers that contribute more connectivity in a multilayer network. In other words, layers are more influential if more centrality values of links are assigned to them. We validate the measures on a real-world dataset of air transportation multilayer network and find that the measures are able to extract novel and useful information from the dataset.

Suggested Citation

  • Xiao Chen & Zhe-Ming Lu, 2018. "Measure of layer centrality in multilayer network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-12, June.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:06:n:s0129183118500511
    DOI: 10.1142/S0129183118500511
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    Cited by:

    1. Ma, Jinlong & Kong, Lingkang, 2023. "The influence of edge-adding strategy on traffic capacity of multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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