skip to main content
research-article

PageRank: Functional dependencies

Published:30 November 2009Publication History
First page image

References

  1. Avrachenkov, K., Litvak, N., and Pham, K. S. 2007. Distribution of PageRank mass among principle components of the Web. In Proceedings of the 5th International Workshop on Algorithms and Models for the Web-Graph (WAW'07), A. Bonato and F. R. K. Chung, Eds. Lecture Notes in Computer Science, vol. 4863. Springer, 16--28. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Baeza-Yates, R., Boldi, P., and Castillo, C. 2006. Generalizing PageRank: Damping functions for link-based ranking algorithms. In (SIGIR '06) Proceedings of the 29th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval. ACM Press, New York, 308--315. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Bao, Y. and Liu, Y. 2006. Limit of PageRank with damping factor. Dynam. Contin. Discr. Impulsive Syst. 13, 497--504.Google ScholarGoogle Scholar
  4. Boldi, P., Codenotti, B., Santini, M., and Vigna, S. 2004. Ubicrawler: A scalable fully distributed Web crawler. Softw. Pract. Exper. 34, 8, 711--726. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Boldi, P., Lonati, V., Santini, M., and Vigna, S. 2006. Graph fibrations, graph isomorphism, and PageRank. RAIRO Inf. Théor. 40, 227--253.Google ScholarGoogle ScholarCross RefCross Ref
  6. Boldi, P., Posenato, R., Santini, M., and Vigna, S. 2008. Traps and pitfalls of topic-biased Page Rank. In Proceedings of the 4th Workshop on Algorithms and Models for the Web-Graph (WAW '06), W. Aiello, A. Broder, J. Janssen, and E. Milios, Eds. Lecture Notes in Computer Science, vol. 4936. Springer, 107--116. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Boldi, P., Santini, M., and Vigna, S. 2005. PageRank as a function of the damping factor. In Proceedings of the 14th International World Wide Web Conference. ACM Press, 557--566. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Boldi, P. and Vigna, S. 2004. The WebGraph framework I: Compression techniques. In Proceedings of the 13th International World Wide Web Conference. ACM Press, 595--601. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Brezinski, C. and Redivo-Zaglia, M. 2006. The PageRank vector: Properties, computation, approximation, and acceleration. SIAM J. Matrix Anal. Appl. 28, 2, 551--575. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Brinkmeier, M. 2006. PageRank revisited. ACM Trans. Internet Technol. 6, 3, 282--301. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Del Corso, G., Gullì, A., and Romani, F. 2006. Fast PageRank computation via a sparse linear system. Internet Math. 2, 3, 251--273.Google ScholarGoogle ScholarCross RefCross Ref
  12. Eiron, N., McCurley, K. S., and Tomlin, J. A. 2004. Ranking the Web frontier. In Proceedings of the 13th International World Wide Web Conference. ACM Press, 309--318. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. Fogaras, D. 2005. Personal communication.Google ScholarGoogle Scholar
  14. Golub, G. H. and Greif, C. 2006. An Arnoldi-type algorithm for computing PageRank. BIT Numer. Math. 46, 4, 759--771.Google ScholarGoogle ScholarCross RefCross Ref
  15. Haveliwala, T. and Kamvar, S. 2003a. The condition number of the PageRank problem. Tech. rep. 36, Stanford University.Google ScholarGoogle Scholar
  16. Haveliwala, T. H. 1999. Efficient computation of PageRank. Tech. rep. 31, Stanford University.Google ScholarGoogle Scholar
  17. Haveliwala, T. H. and Kamvar, S. D. 2003b. The second eigenvalue of the Google matrix. Tech. rep. 20, Stanford University.Google ScholarGoogle Scholar
  18. Iosifescu, M. 1980. Finite Markov Processes and Their Applications. John Wiley&Sons.Google ScholarGoogle Scholar
  19. Jeh, G. and Widom, J. 2003. Scaling personalized Web search. In Proceedings of the 12th International World Wide Web Conference. ACM Press, 271--279. Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. Kamvar, S. D., Haveliwala, T. H., Manning, C. D., and Golub, G. H. 2003. Extrapolation methods for accelerating PageRank computations. In Proceedings of the 12th International World Wide Web Conference. ACM Press, 261--270. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. Katz, L. 1953. A new status index derived from sociometric analysis. Psychometrika 18, 1, 39--43.Google ScholarGoogle ScholarCross RefCross Ref
  22. Kumar, R., Raghavan, P., Rajagopalan, S., Sivakumar, D., Tompkins, A., and Upfal, E. 2000. The Web as a graph. In Proceedings of the 19th ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems (PODS '00). ACM Press, 1--10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. Langville, A. N. and Meyer, C. D. 2004. Deeper inside PageRank. Internet Math. 1, 3, 355--400.Google ScholarGoogle ScholarCross RefCross Ref
  24. Page, L., Brin, S., Motwani, R., and Winograd, T. 1999. The PageRank citation ranking: Bringing order to the Web. Tech. rep. 66, Stanford University.Google ScholarGoogle Scholar
  25. Pinski, G. and Narin, F. 1976. Citation influence for journal aggregates of scientific publications: Theory, with application to the literature of physics. Inf. Proces. Manag. 12, 5, 297--312.Google ScholarGoogle ScholarCross RefCross Ref
  26. Pretto, L. 2002a. A theoretical analysis of Google's PageRank. In Proceedings of the 9th International Symposium on String Processing and Information Retrieval (SPIRE '02), A. H. F. Laender and A. L. Oliveira, Eds. Lecture Notes in Computer Science, vol. 2476. Springer, 125--136. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. Pretto, L. 2002b. A theoretical approach to link analysis algorithms. Ph.D. thesis.Google ScholarGoogle Scholar
  28. Serra-Capizzano, S. 2005. Jordan canonical form of the Google matrix: A potential contribution to the PageRank computation. SIAM J. Matrix Anal. Appl. 27, 2, 305--312. Google ScholarGoogle ScholarDigital LibraryDigital Library
  29. Vigna, S. 2005. TruRank: Taking PageRank to the limit. In Proceedings of the 14th International World Wide Web Conference (WWW 2005), Special Interest Tracks&Posters. ACM Press, 976--977. Google ScholarGoogle ScholarDigital LibraryDigital Library
  30. Vigna, S. 2007. Stanford matrix considered harmful. In Web Information Retrieval and Linear Algebra Algorithms, A. Frommer, M. W. Mahoney, and D. B. Szyld, Eds. Number 07071 in Dagstuhl Seminar Proceedings. Internationales Begegnungs- und Forschungszentrum für Informatik (IBFI), Schloss Dagstuhl, Germany.Google ScholarGoogle Scholar

Index Terms

  1. PageRank: Functional dependencies

            Recommendations

            Comments

            Login options

            Check if you have access through your login credentials or your institution to get full access on this article.

            Sign in

            Full Access

            • Published in

              cover image ACM Transactions on Information Systems
              ACM Transactions on Information Systems  Volume 27, Issue 4
              November 2009
              193 pages
              ISSN:1046-8188
              EISSN:1558-2868
              DOI:10.1145/1629096
              Issue’s Table of Contents

              Copyright © 2009 ACM

              Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

              Publisher

              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 30 November 2009
              • Accepted: 1 December 2008
              • Revised: 1 September 2008
              • Received: 1 January 2008
              Published in tois Volume 27, Issue 4

              Permissions

              Request permissions about this article.

              Request Permissions

              Check for updates

              Qualifiers

              • research-article
              • Research
              • Refereed

            PDF Format

            View or Download as a PDF file.

            PDF

            eReader

            View online with eReader.

            eReader