NDLI: On the Generation of Random Binary Search Trees

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Robson, John Michael Devroye, Luc
Copyright Year	1995
Abstract	We consider the computer generation of random binary search trees with n nodes for the standard random permutation model. The algorithms discussed here output the number of external nodes at each level, but not the shape of the tree. This is important, for example, when one wishes to simulate the height of the binary search tree. Various paradigms are proposed, including depth-first search with pruning, incremental methods in which the tree grows with random-sized jumps, and a tree growing procedure gleaned from birth-and-death processes. The last method takes $O(\log^{4} n)$ expected time.
Starting Page	1141
Ending Page	1156
Page Count	16
File Format	PDF
ISSN	00975397
DOI	10.1137/S0097539792224954
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	6
Volume Number	24
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-13
Access Restriction	Subscribed
Subject Keyword	recursive procedure Pseudo-random numbers; Monte Carlo methods Random graphs simulation Data structures Combinatorial probability height of a tree probabilistic analysis Analysis of algorithms and problem complexity Monte Carlo methods random combinatorial object Simulation General methods of simulation point process binary search tree Searching and sorting expected complexity Random number generation
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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