Quasi-stationary distributions as centrality measures for the giant strongly connected component of a reducible graph
✍ Scribed by Konstantin Avrachenkov; Vivek Borkar; Danil Nemirovsky
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 413 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
A random walk can be used as a centrality measure of a directed graph. However, if the graph is reducible the random walk will be absorbed in some subset of nodes and will never visit the rest of the graph. In Google PageRank the problem was solved by the introduction of uniform random jumps with some probability. Up to the present, there is no final answer to the question about the choice of this probability. We propose to use a parameterfree centrality measure which is based on the notion of a quasi-stationary distribution. Specifically, we suggest four quasi-stationary based centrality measures, analyze them and conclude that they produce approximately the same ranking.