Name
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. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1140/epjb/e2013-31090-8 | European Physical Journal B |
Keywords | Field | DocType |
Statistical and Nonlinear Physics | Spectral properties,Statistical physics,PageRank,Information flow (information theory),CheiRank,Complex plane,Hyperlink,Eigenvalues and eigenvectors,Google matrix,Condensed matter physics,Physics | Journal |
Volume | Issue | ISSN |
abs/1212.1068 | 5 | 1434-6036 |
Citations | PageRank | References |
14 | 0.84 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Leonardo Ermann | 1 | 48 | 5.94 |
| Klaus M. Frahm | 2 | 55 | 5.78 |
| Dima Shepelyansky | 3 | 111 | 13.71 |