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Determining Factors Behind the PageRank Log-Log Plot

  • Yana Volkovich
  • Nelly Litvak
  • Debora Donato
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4863)

Abstract

We study the relation between PageRank and other parameters of information networks such as in-degree, out-degree, and the fraction of dangling nodes. We model this relation through a stochastic equation inspired by the original definition of PageRank. Further, we use the theory of regular variation to prove that PageRank and in-degree follow power laws with the same exponent. The difference between these two power laws is in a multiplicative constant, which depends mainly on the fraction of dangling nodes, average in-degree, the power law exponent, and the damping factor. The out-degree distribution has a minor effect, which we explicitly quantify. Finally, we propose a ranking scheme which does not depend on out-degrees.

Keywords

PageRank Power laws Ranking algorithms Stochastic equations Web graph Wikipedia 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Yana Volkovich
    • 1
  • Nelly Litvak
    • 1
  • Debora Donato
    • 2
  1. 1.University of Twente, P.O. Box 217, 7500 AE, EnschedeThe Netherlands
  2. 2.Yahoo! Research, Barcelona Ocata 1, 1st floor, 08003, Barcelona CatalunyaSpain

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