MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM

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MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM ( mathematics-behind-google-pagerank-algorithm )

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It is also useful to model it as:  1 Sij =  0 if pj links to pi otherwise (II.3) For the model Internet network in Figure 2.2, the matrix is:  0 1 1 1 0 0   1 0 0 1 0 0 1 0 0 1 1 0 S=0 1 0 0 1 1   0 0 1 0 0 1 (II.4) Sij =   0 , 000100  1/lpj if pj links to pi otherwise (II.5) Where lpj is equal to the number of outgoing links on page pj. The matrix for the model Internet network in Figure 2.2 is then:   0 1/3 1/3 1/3 0 0    1/2 0 0 1/2 0 0 1/30 01/31/30 S= 0 1/3 0 0 1/3 1/3    0 0 1/2 0 0 1/2 000100 This is also a row-stochastic matrix, which is shown in Section 2.3. (II.6) 5

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