Distribution of PageRank mass among principle components of the web

  • Authors:
  • Konstantin Avrachenkov;Nelly Litvak;Kim Son Pham

  • Affiliations:
  • INRIA Sophia Antipolis, France;University of Twente, Dept. of Applied Mathematics, Enschede, The Netherlands;St.Petersburg State University, Peterhof, Russia

  • Venue:
  • WAW'07 Proceedings of the 5th international conference on Algorithms and models for the web-graph
  • Year:
  • 2007

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Abstract

We study the PageRank mass of principal components in a bow-tie Web Graph, as a function of the damping factor c. Using a singular perturbation approach, we show that the PageRank share of IN and SCC components remains high even for very large values of the damping factor, in spite of the fact that it drops to zero when c → 1. However, a detailed study of the OUT component reveals the presence of "dead-ends" (small groups of pages linking only to each other) that receive an unfairly high ranking when c is close to one. We argue that this problem can be mitigated by choosing c as small as 1/2.