Determining factors behind the PageRank log-log plot
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 multiple coefficient, which depends mainly on the fraction of dangling nodes, average in-degree, the power law exponent, and damping factor. The out-degree distribution has a minor effect, which we explicitly quantify. Our theoretical predictions show a good agreement with experimental data on three different samples of the Web.
Cite
@article{arxiv.0704.2694,
title = {Determining factors behind the PageRank log-log plot},
author = {Yana Volkovich and Nelly Litvak and Debora Donato},
journal= {arXiv preprint arXiv:0704.2694},
year = {2008}
}