The Distribution of heights of binary trees and other simple trees - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1992

The Distribution of heights of binary trees and other simple trees

Philippe Flajolet
  • Function : Author
  • PersonId : 829512
Zhicheng Gao
  • Function : Author
Andrew M. Odlyzko
  • Function : Author
Bruce Richmond
  • Function : Author

Abstract

The number of binary trees of fixed size and given height is estimated asymptotically near the peak of the distribution. There, a local limit theorem with convergence to a theta law is established. Large deviation bounds corresponding to large heights and small heights are also derived. The methods based on the analysis of singular iterations apply to any simple family of trees.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1749.pdf (472.85 Ko) Télécharger le fichier

Dates and versions

inria-00076989 , version 1 (29-05-2006)

Identifiers

  • HAL Id : inria-00076989 , version 1

Cite

Philippe Flajolet, Zhicheng Gao, Andrew M. Odlyzko, Bruce Richmond. The Distribution of heights of binary trees and other simple trees. [Research Report] RR-1749, INRIA. 1992. ⟨inria-00076989⟩
98 View
148 Download

Share

Gmail Facebook X LinkedIn More