Homework 4-15-2013

A = (C/1) * 0.85 + 0.15 = 0.85C + 0.15 --- (1)
B = (A/2) * 0.85 + 0.15 = 0.425A + 0.15 --- (2)
C = (A/2+B/1) * 0.85 + 0.15 = 0.425A + 0.85B + 0.15 --- (3)

由 (2)(3) 可得 1.85B = C

代入 (1) 得 A = 1.5725B + 0.15 --- (4)

將 (2) 代入 (4) 中得 A = 1.5725(0.425A + 0.15) + 0.15 → A = 1.163

so, B = 0.425 * 1.163 + 0.15 = 0.644

     C = 0.425 * 1.163 + 0.85 * 0.644 + 0.15 = 1.19

故, 三者的PageRank為 : C > A > B