Consider the graph (Figure 5.20) with 7 pages (A, B, C, D, E, F and G) where: A → B B → A, C, D, E C → A, E D → C E → G F → E, G G → A, F Figure 5.20 Assume that the PageRank values for any page m at...


Consider the graph (Figure 5.20) with 7 pages (A, B, C, D, E, F and G) where:


A → B


B → A, C, D, E


C → A, E


D → C


E → G


F → E, G


G → A, F


Figure 5.20


Assume that the PageRank values for any page m at iteration 0 is P R(m) = 1 and that the damping factor for iterations is d = 0.85. An additional page H is added to the graph, where the page has a single outlink to one (and only one) of the previous existing pages. The PageRank values for this new graph on iteration 2 are the following.


P R(A) = 1.4834375 P R(B) = 1.180625


P R(C) = 1.393125


P R(D) = 0.49


P R(E) = 1.1221875


P R(F) = 0.755625


P R(G) = 1.425


P R(H) = 0.15


(a) Determine to what page H outlinks.


(b) Would the change in the graph dramatically affect the PageRank values for every node if more iterations are performed? Why/Why not? Justify?



May 04, 2022
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