Google matrix of Twitter
arXiv:1207.3414 · doi:10.1140/epjb/e2012-30599-6
Abstract
We construct the Google matrix of the entire Twitter network, dated by July 2009, and analyze its spectrum and eigenstate properties including the PageRank and CheiRank vectors and 2DRanking of all nodes. Our studies show much stronger inter-connectivity between top PageRank nodes for the Twitter network compared to the networks of Wikipedia and British Universities studied previously. Our analysis allows to locate the top Twitter users which control the information flow on the network. We argue that this small fraction of the whole number of users, which can be viewed as the social network elite, plays the dominant role in the process of opinion formation on the network.
Research at http://www.quantware.ups-tlse.fr/ 8 pages, 8 figures, Additional data available at: http://www.quantware.ups-tlse.fr/QWLIB/twittermatrix/
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- Structure and dynamics of core-periphery networks
- Google matrix analysis of directed networks
- The Geospatial Characteristics of a Social Movement Communication Network
- Spectral properties of Google matrix of Wikipedia and other networks
- Time evolution of Wikipedia network ranking
- Google matrix of the citation network of Physical Review
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- Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks