PageRank revisited

PageRank, one part of the search engine Google, is one of the most prominent link-based rankings of documents in the World Wide Web. Usually it is described as a Markov chain modeling a specific random surfer. In this article, an alternative representation as a power series is given. Nonetheless, it is possible to interpret the values as probabilities in a random surfer setting, differing from the usual one.Using the new description we restate and extend some results concerning the convergence of the standard iteration used for PageRank. Furthermore we take a closer look at sinks and sources, leading to some suggestions for faster implementations.

[1]  Sergey Brin,et al.  The Anatomy of a Large-Scale Hypertextual Web Search Engine , 1998, Comput. Networks.

[2]  Sepandar D. Kamvar,et al.  An Analytical Comparison of Approaches to Personalizing PageRank , 2003 .

[3]  Jasmine Novak,et al.  PageRank Computation and the Structure of the Web: Experiments and Algorithms , 2002 .

[4]  Rajeev Motwani,et al.  The PageRank Citation Ranking : Bringing Order to the Web , 1999, WWW 1999.

[5]  Taher H. Haveliwala,et al.  The Second Eigenvalue of the Google Matrix , 2003 .

[6]  C. Brezinski,et al.  Extrapolation methods , 1992 .

[7]  Dániel Fogaras.  Where to Start Browsing the Web? , 2003, IICS.

[8]  Michael Brinkmeier.  Distributed Calculation of PageRank Using Strongly Connected Components , 2005, IICS.

[9]  Gene H. Golub,et al.  Extrapolation methods for accelerating PageRank computations , 2003, WWW '03.

[10]  Taher H. Haveliwala,et al.  Adaptive methods for the computation of PageRank , 2004 .

[11]  Taher H. Haveliwala.  Topic-sensitive PageRank , 2002, IEEE Trans. Knowl. Data Eng..

[12]  Jennifer Widom,et al.  Scaling personalized web search , 2003, WWW '03.

[13]  Taher H. Haveliwala.  Topic-Sensitive PageRank: A Context-Sensitive Ranking Algorithm for Web Search , 2003, IEEE Trans. Knowl. Data Eng..

[14]  Franco Scarselli,et al.  Inside PageRank , 2005, TOIT.

[15]  Gene H. Golub,et al.  Exploiting the Block Structure of the Web for Computing , 2003 .

[16]  Jennifer Widom,et al.  SimRank: a measure of structural-context similarity , 2002, KDD.