Title
Asymptotic distribution of two-protected nodes in random binary search trees.
Abstract
We derive exact moments of the number of 2-protected nodes in binary search trees grown from random permutations. Furthermore, we show that a properly normalized version of this tree parameter converges to a Gaussian limit.
Year
DOI
Venue
2012
10.1016/j.aml.2012.06.005
Applied Mathematics Letters
Keywords
Field
DocType
Binary search trees,Random structure,Combinatorial probability,Asymptotic analysis
Geometry of binary search trees,Discrete mathematics,Mathematical optimization,Combinatorics,Treap,Binary tree,Optimal binary search tree,Weight-balanced tree,Random binary tree,Ternary search tree,Binary search tree,Mathematics
Journal
Volume
Issue
ISSN
25
12
0893-9659
Citations 
PageRank 
References 
5
0.73
5
Authors
2
Name
Order
Citations
PageRank
Hosam M. Mahmoud118355.63
Mark Daniel Ward2196.99