English

Recursive PGFs for BSTs and DSTs

Data Structures and Algorithms 2020-02-10 v1 History and Overview Probability

Abstract

We review fundamentals underlying binary search trees and digital search trees, with (atypical) emphasis on recursive formulas for associated probability generating functions. Other topics include higher moments of BST search costs and combinatorics for a certain finite-key analog of DSTs.

Cite

@article{arxiv.2002.02809,
  title  = {Recursive PGFs for BSTs and DSTs},
  author = {Steven Finch},
  journal= {arXiv preprint arXiv:2002.02809},
  year   = {2020}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-23T13:34:18.261Z