Provide a tight asymptotic upper bound on E[ H] by following the steps below. (a) Show that P[H > m] sn 2-m (b) Choose a value of c> 0 such that P[H > m] < for m = c log, n

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Consider a Skip List with n nodes. Each node k has a random "height" hg, which is the number of
linked lists that includes node k. The heights nodes are statistically independent, where
P[hx = m] = 2-m, for m 2 1 and
P[h = m] = 0 , for m <1
%3D
Let H = max hy
k
Provide a tight asymptotic upper bound on E[ H] by following the steps below.
(a)
Show that P[H > m] <n 2-m
(b)
Choose a value of c>0 such that P[H > m] <= for m = c log, n
Transcribed Image Text:Consider a Skip List with n nodes. Each node k has a random "height" hg, which is the number of linked lists that includes node k. The heights nodes are statistically independent, where P[hx = m] = 2-m, for m 2 1 and P[h = m] = 0 , for m <1 %3D Let H = max hy k Provide a tight asymptotic upper bound on E[ H] by following the steps below. (a) Show that P[H > m] <n 2-m (b) Choose a value of c>0 such that P[H > m] <= for m = c log, n
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