Random suffix search trees

被引：0
|
作者：
Devroye, L [1 ]
Neininger, R [1 ]
机构：
[1] McGill Univ, Sch Comp Sci, Montreal, PQ H3A 2K6, Canada
来源：
RANDOM STRUCTURES & ALGORITHMS | 2003年 / 23卷 / 04期
关键词：
random binary search tree; suffix tree; Lacunary sequences; random spacings; probabilistic analysis of algorithms;
D O I：
10.1002/rsa.10103
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A random suffix search tree is a binary search tree constructed for the suffixes X(i) = 0 (.) B(i)B(i+1)B(i+2)... of a sequence B(1), B(2), B(3),... of independent identically distributed random b-ary digits B(j). Let D(n) denote the depth of the node for X(n) in this tree when B(1) is uniform on Z(b). We show that for any value of b > 1, ED(n) = 2 log n + O(log(2)log n), just as for the random binary search tree. We also show that D(n)/ED(n) --> 1 in probability. (C) 2003 Wiley Periodicals, Inc.
引用
收藏
页码：357 / 396
页数：40
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