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A vibrational approach to node centrality and vulnerability in complex networks

Estrada, Ernesto and Hatano, N. (2010) A vibrational approach to node centrality and vulnerability in complex networks. Physica A: Statistical Mechanics and its Applications, 389 (17). pp. 3648-3660. ISSN 0378-4371

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    Abstract

    We propose a new measure of vulnerability of a node in a complex network. The measure is based on the analogy in which the nodes of the network are represented by balls and the links are identified with springs. We define the measure as the node displacement, or the amplitude of vibration of each node, under fluctuation due to the thermal bath in which the network is supposed to be submerged. We prove exact relations among the thus defined node displacement, the information centrality and the Kirchhoff index. The relation between the first two suggests that the node displacement has a better resolution of the vulnerability than the information centrality, because the latter is the sum of the local node displacement and the node displacement averaged over the entire network.

    Item type: Article
    ID code: 28254
    Keywords: Network vibrations, Centrality, Spectral theory, Kirchhoff index, Information centrality, Social networks, Mathematics, Physics
    Subjects: Science > Mathematics
    Science > Physics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Mrs Carolynne Westwood
      Date Deposited: 14 Oct 2010 16:26
      Last modified: 06 Oct 2012 09:06
      URI: http://strathprints.strath.ac.uk/id/eprint/28254

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