Using PageRank to Characterize Web Structure

  • Gopal Pandurangan
  • Prabhakar Raghavan
  • Eli Upfal
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2387)


Recent work on modeling the Web graph has dwelt on capturing the degree distributions observed on the Web. Pointing out that this represents a heavy reliance on “local” properties of the Web graph, we study the distribution of PageRank values (used in the Google search engine) on the Web. This distribution is of independent interest in optimizing search indices and storage. We show that PageRank values on the Web follow a power law. We then develop detailed models for the Web graph that explain this observation, and moreover remain faithful to previously studied degree distributions. We analyze these models, and compare the analyses to both snapshots from the Web and to graphs generated by simulations on the new models. To our knowledge this represents the first modeling of the Web that goes beyond fitting degree distributions on the Web.


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  1. 1.
    L. Adamic and B. Huberman. Power Law distribution of the World Wide Web, Technical Comment on [3], Science, 287, 2000, 2115a.CrossRefGoogle Scholar
  2. 2.
    Arvind Arasu, Junghoo Cho, Hector Garcia-Molina, Andreas Paepcke, Sriram Raghavan. Searching the Web. ACM Transactions on Internet Technology, 1(1), 2001, 2–43.CrossRefGoogle Scholar
  3. 3.
    A. Barabasi and R. Albert. Emergence of Scaling in Random Networks. Science, 286(509), 1999.Google Scholar
  4. 4.
    A. Barabasi, R. Albert and H. Jeong. Mean-field theory for scale-free random graphs. Physica A, 272, 1999, 173–187.CrossRefGoogle Scholar
  5. 5.
    B. Bollobas. Random Graphs. Academic Press, 1990.Google Scholar
  6. 6.
    B. Bollobas, O. Riordan, J. Spencer, and G. Tusnady. The degree sequence of a scale-free random graph process. Random Structures and Algorithms, 18(3), 2001, 279–290.zbMATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    B. Bollobas and O. Riordan. The diameter of a scale-free random graph. preprint, 2001.Google Scholar
  8. 8.
    S. Brin and L. Page. The anatomy of a large-scale hypertexual Web search engine. In Proceedings of the 7th WWW conference, 1998.Google Scholar
  9. 9.
    A. Broder, R. Kumar, F. Maghoul, P. Raghavan, S. Rajagopalan, R. Stata, Andrew Tomkins, J. Weiner. Graph Structure in the Web. In Proceedings of the 9th WWW Conference, 2000.Google Scholar
  10. 10.
    S. Dill, R. Kumar, K. McCurley, S. Rajagopalan, D. Sivakumar, and A. Tomkins. Self-Similarity in the Web. In Proceedings of the 27th International Conference on Very Large Databases (VLDB), 2001.Google Scholar
  11. 11.
    D. Gibson, J.M. Kleinberg and P. Raghavan. Inferring Web communities from link topology. In Proceedings of the ACM Symposium on Hypertext and Hypermedia, 1998.Google Scholar
  12. 12.
  13. 13.
    J. Kleinberg, S. Ravi Kumar, P. Raghavan, S. Rajagopalan and A. Tomkins. The Web as a graph: measurements, models and methods. In Proceedings of the 5th Annual International Computing and Combinatorics Conference (COCOON), 1999.Google Scholar
  14. 14.
    R. Kumar, P. Raghavan, S. Rajagopalan, and A. Tomkins. Trawling the Web for Emerging Cyber-Communities. In Proceedings of the 8th WWW Conference, 1999, 403–416.Google Scholar
  15. 15.
    R. Kumar, P. Raghavan, S. Rajagopalan, D. Sivakumar, A. Tomkins, and E. Upfal. Stochastic Models for the Web. In Proceedings of the 41st Annual Symposium on the Foundations of Computer Science (FOCS), 2000.Google Scholar
  16. 16.
    R. Motwani and P. Raghavan. Randomized Algorithms, Cambridge University Press, 1995.Google Scholar
  17. 17.
    L. Page, S. Brin, R. Motwani, and T. Winograd. The PageRank Citation Ranking: Bringing order to the Web, Technical Report, Computer Science Department, Stanford University, 1998.Google Scholar
  18. 18.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gopal Pandurangan
    • 1
  • Prabhakar Raghavan
    • 2
  • Eli Upfal
    • 1
  1. 1.Computer Science DepartmentBrown UniversityProvidenceUSA
  2. 2.Verity Inc.SunnyvaleUSA

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