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Time evolution of Wikipedia network ranking

Author

Listed:
  • Young-Ho Eom
  • Klaus M. Frahm
  • András Benczúr
  • Dima L. Shepelyansky

Abstract

We study the time evolution of ranking and spectral properties of the Google matrix of English Wikipedia hyperlink network during years 2003–2011. The statistical properties of ranking of Wikipedia articles via PageRank and CheiRank probabilities, as well as the matrix spectrum, are shown to be stabilized for 2007–2011. A special emphasis is done on ranking of Wikipedia personalities and universities. We show that PageRank selection is dominated by politicians while 2DRank, which combines PageRank and CheiRank, gives more accent on personalities of arts. The Wikipedia PageRank of universities recovers 80% of top universities of Shanghai ranking during the considered time period. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Young-Ho Eom & Klaus M. Frahm & András Benczúr & Dima L. Shepelyansky, 2013. "Time evolution of Wikipedia network ranking," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(12), pages 1-9, December.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:12:p:1-9:10.1140/epjb/e2013-40432-5
    DOI: 10.1140/epjb/e2013-40432-5
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    Cited by:

    1. Young-Ho Eom & Pablo Aragón & David Laniado & Andreas Kaltenbrunner & Sebastiano Vigna & Dima L Shepelyansky, 2015. "Interactions of Cultures and Top People of Wikipedia from Ranking of 24 Language Editions," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-27, March.
    2. Samer El Zant & Katia Jaffrès-Runser & Dima L Shepelyansky, 2018. "Capturing the influence of geopolitical ties from Wikipedia with reduced Google matrix," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-31, August.
    3. Young-Ho Eom & Dima L Shepelyansky, 2013. "Highlighting Entanglement of Cultures via Ranking of Multilingual Wikipedia Articles," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-10, October.

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    Keywords

    Statistical and Nonlinear Physics;

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