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  1. Home > Articles & Issues >
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  3. The height of q-Bina ...
Article

The height of q-Binary Search Trees

Michael Drmota (1) (2), Helmut Prodinger (3)
(1) Department of Geometry [Vienna]
(2) Department of Geometry [TU Wien]
(3) The John Knopfmacher Centre for Applicable Analysis and Number Theory [Johannesburg]
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Imported on
March 26, 2015
Published on
January 1, 2002
Last modified on
March 31, 2025
Volume 5
vol. 5
DOI
10.46298/dmtcs.304
License
https://about.hal.science/hal-authorisation-v1
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The height of q-Binary Search Trees

Michael Drmota (1) (2), Helmut Prodinger (3)
(1) Department of Geometry [Vienna]
(2) Department of Geometry [TU Wien]
(3) The John Knopfmacher Centre for Applicable Analysis and Number Theory [Johannesburg]
Abstract
q-binary search trees are obtained from words, equipped with a geometric distribution instead of permutations. The average and variance of the heighth computated, based on random words of length n, as well as a Gaussian limit law.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • binary search tree
  • q-analogue
  • height
Cited by

Source: OpenCitations

  • One-sided variations on binary search trees

    Annals of the Institute of Statistical Mathematics

    Authors : Hosam M. Mahmoud ORCID

    Journal reference : Volume 55, 2003, pp. 885-900

    DOI : 10.1007/bf02523399
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