Skip to Main content Skip to Navigation
Conference papers

Almost sure asymptotics for the random binary search tree

Abstract : We consider a (random permutation model) binary search tree with $n$ nodes and give asymptotics on the $\log$ $\log$ scale for the height $H_n$ and saturation level $h_n$ of the tree as $n \to \infty$, both almost surely and in probability. We then consider the number $F_n$ of particles at level $H_n$ at time $n$, and show that $F_n$ is unbounded almost surely.
Complete list of metadatas

Cited literature [8 references]  Display  Hide  Download

https://hal.inria.fr/hal-00459166
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, August 20, 2015 - 4:32:32 PM
Last modification on : Saturday, March 28, 2020 - 2:18:01 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:53:16 AM

File

dmAM0139.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00459166, version 1

Citation

Matthew Roberts. Almost sure asymptotics for the random binary search tree. 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. pp.565-576. ⟨hal-00459166⟩

Share

Metrics

Record views

280

Files downloads

561