Advertisement

PageRank: When Order Changes

  • Massimo Melucci
  • Luca Pretto
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4425)

Abstract

As PageRank is a ranking algorithm, it is of prime interest to study the order induced by its values on webpages. In this paper a thorough mathematical analysis of PageRank-induced order changes when the damping factor varies is provided. Conditions that do not allow variations in the order are studied, and the mechanisms that make the order change are mathematically investigated. Moreover the influence on the order of a truncation in the actual computation of PageRank through a power series is analysed. Experiments carried out on a large Web digraph to integrate the mathematical analysis show that PageRank — while working on a real digraph—tends to hinder variations in the order of large rankings, presenting a high stability in its induced order both in the face of large variations of the damping factor value and in the face of truncations in its computation.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Boldi, P., Santini, M., Vigna, S.: PageRank as a function of the damping factor. In: Proc. of WWW, May 2005, pp. 557–566. ACM Press, New York (2005)CrossRefGoogle Scholar
  2. 2.
    Broder, A., et al.: Graph structure in the web. In: Proc. of WWW (2000)Google Scholar
  3. 3.
    Kendall, M.: Rank Correlation Methods, 4th edn. Charles Griffin & Co. Ltd., London (1975)zbMATHGoogle Scholar
  4. 4.
    Langville, A.N., Meyer, C.D.: Google’s PageRank and Beyond: The Science of Search Engine Rankings. Princeton University Press, Princeton (2006)zbMATHGoogle Scholar
  5. 5.
    Seneta, E.: Non-negative Matrices and Markov Chains, 2nd edn. Springer, New York (1981)zbMATHGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Massimo Melucci
    • 1
  • Luca Pretto
    • 1
  1. 1.University of Padova, Department of Information Engineering 

Personalised recommendations