Authors
Yana Volkovich, Nelly Litvak, Debora Donato
Publication date
2007
Conference
Algorithms and Models for the Web-Graph: 5th International Workshop, WAW 2007, San Diego, CA, USA, December 11-12, 2007. Proceedings 5
Pages
108-123
Publisher
Springer Berlin Heidelberg
Description
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.
Total citations
20072008200920102011201220132014201520162017201820192020202120222023202446341122431122211
Scholar articles
Y Volkovich, N Litvak, D Donato - Algorithms and Models for the Web-Graph: 5th …, 2007