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.

PDF
Restricted to UT campus only: Request a copy
631Kb

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
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Stochastic Operations Research (SOR)
Link to this item:	http://purl.utwente.nl/publications/62603
Official URL:	http://dx.doi.org/10.1007/978-3-540-78808-9
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page

Metis ID: 254986