G.H. Gonnet, Journal of the ACM 28, 1981, pp. 289-304.  Home/Search   Document Not in Database   Summary   Related Articles

....) 1. Hence, any xed bucket contains expected exactly one ball. 2. Let X : max 1 i n X i . Hence, X is the number of balls in the largest bucket. Prove the following claims. a) Pr(L k) n n k (1=n) k . b) E(L) P 1 k=1 min(1; n=k ) c) E(L) O(log n= log log n) Gonnet [4] has shown that E(L) log n= log log n) Hence, the largest bucket contains expected about log n= log log n balls. 5.2 The expected size of a skip list Let M be the random variable whose value is equal to the total size of the sets S 1 ; S 2 ; S h . Hence, since S h = we have M = ....

G.H. Gonnet, Journal of the ACM 28, 1981, pp. 289-304.

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