Skip to main content
Article thumbnail
Location of Repository

Large Deviations for the Weighted Height of an Extended Class of Trees

By Nicolas Broutin and Luc Devroye

Abstract

We use large deviations to prove a general theorem on the asymptotic edge-weighted height H ⋆ n of a large class of random trees for which H ⋆ n ∼ c log n for some positive constant c. A graphical interpretation is also given for the limit constant c. This unifies what was already known for binary search trees [11], [13], random recursive trees [12] and plane oriented trees [23] for instance. New applications include the heights of some random lopsided trees [19] and of the intersection of random trees

Topics: Probabilistic analysis, Large deviations
Publisher: Springer Science+Business Media, Inc.
Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.2115
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://cg.scs.carleton.ca/~luc... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.