Spectral properties of Google matrix of Wikipedia and other networks

Leonardo Ermann, Klaus Frahm and Dima Shepelyansky ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2013, vol. 86, issue 5, 1-10

Abstract: We study the properties of eigenvalues and eigenvectors of the Google matrix of the Wikipedia articles hyperlink network and other real networks. With the help of the Arnoldi method, we analyze the distribution of eigenvalues in the complex plane and show that eigenstates with significant eigenvalue modulus are located on well defined network communities. We also show that the correlator between PageRank and CheiRank vectors distinguishes different organizations of information flow on BBC and Le Monde web sites. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1140/epjb/e2013-31090-8

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