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Evaluation of invulnerability of scale-free networks using total information of local sub-graph

Author

Listed:
  • Tingyuan Nie

    (School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China)

  • Xinling Guo

    (School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China)

  • Mengda Lin

    (School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China)

  • Kun Zhao

    (School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China)

Abstract

The quantification for the invulnerability of complex network is a fundamental problem in which identifying influential nodes is of theoretical and practical significance. In this paper, we propose a novel definition of centrality named total information (TC) which derives from a local sub-graph being constructed by a node and its neighbors. The centrality is then defined as the sum of the self-information of the node and the mutual information of its neighbor nodes. We use the proposed centrality to identify the importance of nodes through the evaluation of the invulnerability of scale-free networks. It shows both the efficiency and the effectiveness of the proposed centrality are improved, compared with traditional centralities.

Suggested Citation

  • Tingyuan Nie & Xinling Guo & Mengda Lin & Kun Zhao, 2018. "Evaluation of invulnerability of scale-free networks using total information of local sub-graph," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-12, August.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:08:n:s0129183118500754
    DOI: 10.1142/S0129183118500754
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