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Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2013

Spectral properties of Google matrix of Wikipedia and other networks

Résumé

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.

Dates et versions

hal-00761760 , version 1 (06-12-2012)

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Leonardo Ermann, Klaus M. Frahm, Dima Shepelyansky. Spectral properties of Google matrix of Wikipedia and other networks. The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.193. ⟨10.1140/epjb/e2013-31090-8⟩. ⟨hal-00761760⟩
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