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?
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