https://doi.org/10.1140/epjb/e2013-31090-8
Regular Article
Spectral properties of Google matrix of Wikipedia and other networks
1
Departamento de Física Teórica, GIyA, Comisión Nacional de Energía Atómica,
1429
Buenos Aires,
Argentina
2
Laboratoire de Physique Théorique du CNRS, IRSAMC, Université de
Toulouse, UPS,
31062
Toulouse,
France
a
e-mail: dima@irsamc.ups-tlse.fr
Received: 5 December 2012
Published online: 29 April 2013
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013