Examples of Google Matrix
An example of the matrix construction via Eq.(1) within a simple network is given in the article CheiRank.
For the actual matrix, Google uses a damping factor around 0.85 . The term gives a surfer probability to jump randomly on any page. The matrix belongs to the class of Perron-Frobenius operators of Markov chains . The examples of Google matrix structure are shown in Fig.1 for Wikipedia articles hyperlink network in 2009 at small scale and in Fig.2 for University of Cambridge network in 2006 at large scale.
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