Determining factors behind the pagerank log-log plot


Volkovich, Yana and Litvak, Nelly and Donato, Debora (2007) Determining factors behind the pagerank log-log plot. In: 5th International Workshop on Algorithms and Models for the Web-Graph, WAW 2007, 11-12 December 2007, San Diego, USA (pp. pp. 108-123).

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Abstract:We study the relation between PageRank and other parameters of information networks such as in-degree, out-degree, and the fraction of dangling nodes. We model this relation through a stochastic equation inspired by the original definition of PageRank. Further, we use the theory of regular variation to prove that PageRank and in-degree follow power laws with the same exponent. The difference between these two power laws is in a multiplicative constant, which depends mainly on the fraction of dangling nodes, average in-degree, the power law exponent, and the damping factor. The out-degree distribution has a minor effect, which we explicitly quantify. Finally, we propose a ranking scheme which does not depend on out-degrees.
Item Type:Conference or Workshop Item
Copyright:© 2007 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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