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Fast PageRank Computation Via a Sparse Linear System (Extended Abstract)

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Algorithms and Models for the Web-Graph (WAW 2004)

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Abstract

The research community has devoted an increased attention to reduce the computation time needed by Web ranking algorithms. Many efforts have been devoted to improve PageRank [4, 23], the well known ranking algorithm used by Google. The core of PageRank exploits an iterative weight assignment of ranks to the Web pages, until a fixed point is reached. This fixed point turns out to be the (dominant) eigenpair of a matrix derived by the Web Graph itself.

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References

  1. Arasu, A., Novak, J., Tomkins, A., Tomlin, J.: PageRank computation and the structure of the Web: Experiments and algorithms. In: Proc. of the 11th WWW Conf. (2002)

    Google Scholar 

  2. Bianchini, M., Gori, M., Scarselli, F.: Inside PageRank. ACM Trans. on Internet Technology (to appear, 2004)

    Google Scholar 

  3. Boldi, P., Vigna, S.: WebGraph framework i: Compression techniques. In: Proc. of the 23th Int. WWW Conf. (2004)

    Google Scholar 

  4. Brin, S., Page, L.: The anatomy of a large-scale hypertextual Web search engine. Computer Networks and ISDN Systems 30(1–7), 107–117 (1998)

    Article  Google Scholar 

  5. Broder, A.Z., Kumar, R., Maghoul, F., Raghavan, P., Rajagopalan, S., Stata, R., Tomkins, A., Wiener, J.L.: Graph structure in the Web. Computer Networks 33, 309–320 (2000)

    Article  Google Scholar 

  6. Buchsbaum, A.L., Goldwasser, M., Venkatasubramanian, S., Westbrook, J.: On external memory graph traversal. In: SODA, pp. 859–860 (2000)

    Google Scholar 

  7. Chen, Y., Gan, Q., Suel, T.: I/o-efficient techniques for computing Pagerank. In: Proc. of the 11th WWW Conf. (2002)

    Google Scholar 

  8. Cho, J., Roy, S.: Impact of Web search engines on page popularity. In: Proc. of the 13th WWW Conf. (2004)

    Google Scholar 

  9. Cuthill, E., McKee, J.: Reducing the bandwidth of sparse symmetric matrices. In: Proc. 24th Nat. Conf. ACM, pp. 157–172 (1969)

    Google Scholar 

  10. Douglas, C., Hu, J., Iskandarani, M., Kowarschik, M., Rüde, U., Weiss, C.: Maximizing cache memory usage for multigrid algorithms. In: Multiphase Flows and Transport in Porous Media: State of the Art, pp. 124–137. Springer, Heidelberg (2000)

    Google Scholar 

  11. Eiron, N., McCurley, S., Tomlin, J.A.: Ranking the web frontier. In: Proc. of 13th WWW Conf. (2004)

    Google Scholar 

  12. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. The John Hopkins University Press, Baltimore (1996)

    MATH  Google Scholar 

  13. Haveliwala, T.: Efficient computation of PageRank. Technical report, Stanford University (1999)

    Google Scholar 

  14. Haveliwala, T.: Topic-sensitive PageRank. In: Proc. of the 11th WWW Conf. (2002)

    Google Scholar 

  15. Haveliwala, T., Kamvar, S., Jeh, G.: An analytical comparison of approaches to personalizing PageRank. Technical report, Stanford University (2003)

    Google Scholar 

  16. Jeh, G., Widom, J.: Scaling personalized Web search. In: Proc. of the 12th WWW Conf. (2002)

    Google Scholar 

  17. Kamvar, S., Haveliwala, T.: The condition number of the pagerank problem. Technical report, Stanford University (2003)

    Google Scholar 

  18. Kamvar, S., Haveliwala, T., Manning, C., Golub, G.: Extrapolation methods for accelerating PageRank computations. In: Proc. of 12th. WWW Conf. (2003)

    Google Scholar 

  19. Kamvar, S.D., Haveliwala, T.H., Manning, C., Golub, G.H.: Exploiting the block structure of the Web for computing PageRank. Technical report, Stanford University (2003)

    Google Scholar 

  20. Langville, A.N., Meyer, C.D.: Deeper inside PageRank. Internet Mathematics (to appear, 2004)

    Google Scholar 

  21. Lee, C.P., Golub, G.H., Zenios, S.A.: A fast two-stage algorithm for computing PageRank. Technical report, Stanford University (2003)

    Google Scholar 

  22. Mehlhorn, K., Meyer, U.: External-memory breadthfirst search with sublinear I/O. In: European Symposium on Algorithms, pp. 723–735 (2002)

    Google Scholar 

  23. Page, L., Brin, S., Motwani, R., Winograd, T.: The PageRank citation ranking: Bringing order to the Web. Technical report, Stanford (1998)

    Google Scholar 

  24. Stewart, W.S.: Introduction to the Numerical Solution of Markov Chains. Princeton University Press, Princeton (1995)

    Google Scholar 

  25. Varga, R.S.: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs (1962)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Del Corso, G.M., GullĂ­, A., Romani, F. (2004). Fast PageRank Computation Via a Sparse Linear System (Extended Abstract). In: Leonardi, S. (eds) Algorithms and Models for the Web-Graph. WAW 2004. Lecture Notes in Computer Science, vol 3243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30216-2_10

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  • DOI: https://doi.org/10.1007/978-3-540-30216-2_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23427-2

  • Online ISBN: 978-3-540-30216-2

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