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r - SNAP - Stanford University

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Construct the N x N matrix A as follows<br />

A ij = β ∙ M ij + (1-β)/N<br />

Verify that A is a stochastic matrix<br />

The page rank vector r is the principal<br />

eigenvector of this matrix A<br />

satisfying r = A ∙ r<br />

Equivalently, r is the stationary distribution of<br />

the random walk with teleports<br />

2/7/2012 Jure Leskovec, <strong>Stanford</strong> C246: Mining Massive Datasets<br />

33

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