Quasi-stationary distributions as centrality measures of reducible graphs

1 MAESTRO - Models for the performance analysis and the control of networks
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : 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 introduction of uniform random jumps with some probability. Up to the present, there is no clear criterion for the choice this parameter. We propose to use parameter-free centrality measure which is based on the notion of quasi-stationary distribution. Specifically we suggest four quasi-stationary based centrality measures, analyze them and conclude that they produce approximately the same ranking. The new centrality measures can be applied in spam detection to detect link farms'' and in image search to find photo albums.
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Reports

Cited literature [1 references]

https://hal.inria.fr/inria-00166333
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Submitted on : Wednesday, August 8, 2007 - 10:32:02 AM
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• HAL Id : inria-00166333, version 2
• ARXIV : 0708.0522

Citation

Konstantin Avrachenkov, Vivek Borkar, Danil Nemirovsky. Quasi-stationary distributions as centrality measures of reducible graphs. [Research Report] RR-6263, INRIA. 2007, pp.19. ⟨inria-00166333v2⟩

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