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Comparing the reliability of networks by spectral analysis

The European Physical Journal B volume 87, Article number: 234 (2014) Cite this article

Abstract

We provide a method for the ranking of the reliability of two networks with the same connectance. Our method is based on the Cheeger constant linking the topological property of a network with its spectrum. We first analyze a set of twisted rings with the same connectance and degree distribution, and obtain the ranking of their reliability using their eigenvalue gaps. The results are generalized to general networks using the method of rewiring. The success of our ranking method is verified numerically for the IEEE57, the Erdős-Rényi, and the Small-World networks.

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Authors and Affiliations

  1. Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, P.R. China

    Zitao Wang & Kwok Yip Szeto

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  1. Zitao Wang
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  2. Kwok Yip Szeto
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Correspondence to Kwok Yip Szeto.

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Wang, Z., Szeto, K. Comparing the reliability of networks by spectral analysis. Eur. Phys. J. B 87, 234 (2014). https://doi.org/10.1140/epjb/e2014-50498-0

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  • DOI: https://doi.org/10.1140/epjb/e2014-50498-0

Keywords

  • Statistical and Nonlinear Physics