Distribution of PageRank Mass Among Principle Components of the Web
Networking and Internet Architecture
2007-09-14 v1 Data Structures and Algorithms
Abstract
We study the PageRank mass of principal components in a bow-tie Web Graph, as a function of the damping factor c. Using a singular perturbation approach, we show that the PageRank share of IN and SCC components remains high even for very large values of the damping factor, in spite of the fact that it drops to zero when c goes to one. However, a detailed study of the OUT component reveals the presence ``dead-ends'' (small groups of pages linking only to each other) that receive an unfairly high ranking when c is close to one. We argue that this problem can be mitigated by choosing c as small as 1/2.
Keywords
Cite
@article{arxiv.0709.2016,
title = {Distribution of PageRank Mass Among Principle Components of the Web},
author = {Konstantin Avrachenkov and Nelly Litvak and Kim Son Pham},
journal= {arXiv preprint arXiv:0709.2016},
year = {2007}
}