Tutorial Activity 10 - MH 8300 Tutorial Activity 10...

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MH 8300 Tutorial Activity 10 PageRank Group Members Name NTU Email ID Marks : /2
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MH 8300 Tutorial Activity 10 PageRank Question 1. Consider the following webgraph with four websites. (a) Write down the adjacency matrix A for the webgraph. (b) Write down the Markov matrix M for the webgraph. (c) Based on your observations on the matrix M , the number of websites linking out of site i is the number of nonzero entries in row/column i , while the number of websites linking into site i corresponds to the number of nonzero entries in row/column i . (d) Determine the importance vector for the webgraph and rank the websites in descending order of importance.
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Question 2. Consider the following webgraph (with ten websites) and its Markov matrix M . M = 0 1 2 1 2 1 3 1 2 1 2 1 3 1 7 0 0 1 2 0 1 2 1 3 1 2 1 2 1 3 0 1 3 0 1 2 0 0 0 0 0 0 1 7 0 0 0 1 2 0 0 0 0 0 1 7 0 0 0 0 0 0 0 0 0 1 7 0 0 0 0 0 0 0 0 0 1 7 0 0 0 0 0 1 3 0 0 0 1 7 1 3 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 1 7 0 1 0 0 0 0 0 0 0 0 1 3 0 (a) Consider the following eigenvalue and eigenvector pairs of M . Eigenvalue Eigenvector Eigenvalue Eigenvector Eigenvalue Eigenvector 0
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