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Consider the web graph given below six pages(A,B,C,D,E,F) with directed links as follows.


A-> B,C
A-> A,D,E,F
C->AF
Assume that the PageRank values for any page m at iteration 0 is PR(m)=1 and teleportation factor for iterations is $\beta$=0.85.Perform the page rank algorithm and determine the rank for every page at iteration 2.

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enter image description here Transition Matrix

enter image description here

  • From the graph it is clear that D, E and F are dead ends.

  • Before applying page rank algorithm remove dead ends.

  • The new graph will be:

enter image description here

so new transition matrix will be

enter image description here

$\beta = 0.85$ and initial page rank vector

enter image description here

Iteration 1:

$V = \beta m v …

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