Probabilistic relation between In-Degree and PageRank


Litvak, N. and Scheinhardt, W.R.W. and Volkovich, Y.V. (2008) Probabilistic relation between In-Degree and PageRank. In: Fourth International Workshop WAW 2006, 30 Nov - 01 Dec 2006, Banff, Canada (pp. pp. 72-83).

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Abstract:This paper presents a novel stochastic model that explains the relation between power laws of In-Degree and PageRank. PageRank is a popularity measure designed by Google to rank Web pages. We model the relation between PageRank and In-Degree through a stochastic equation, which is inspired by the original definition of PageRank. Using the theory of regular variation and Tauberian theorems, we prove that the tail distributions of PageRank and In-Degree differ only by a multiplicative constant, for which we derive a closed-form expression. Our analytical results are in good agreement with Web data.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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