Title
On rotations in fringe-balanced binary trees
Abstract
We employ a Polya urn to model rotations in a random fringe-balanced binary search tree. We show that asymptotically the number of rotations to construct a tree of size n has a normal distribution with mean 2/7 n and variance 66/637 n. Exact results for mean and variance are developed in the process. (C) 1998 Published by Elsevier Science B.V.
Year
DOI
Venue
1998
10.1016/S0020-0190(97)00184-1
Inf. Process. Lett.
Keywords
Field
DocType
fringe-balanced binary tree,data structure,tree,rotation,binary search tree,binary tree,normal distribution,data structures
Graph theory,Discrete mathematics,Random search,Normal distribution,Combinatorics,Treap,Binary tree,Random binary tree,Binary search tree,Mathematics,Interval tree
Journal
Volume
Issue
ISSN
65
1
0020-0190
Citations 
PageRank 
References 
5
0.53
13
Authors
1
Name
Order
Citations
PageRank
Hosam M. Mahmoud118355.63