Binary search tree recursions with harmonic toll functions

  • Authors:
  • Alois Panholzer;Helmut Prodinger

  • Affiliations:
  • Institut für Algebra und Computermathematik, Technische Universität Wien, Wiedner Hauptstraiße 8-10, A-1040 Wien, Austria;The John Knopfmacher Centre for Applicable Analysis and Number Theory, Mathematics Department, University of the Witwatersrand, P.O. Witts, 2050 Johannesburg, South Africa

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Probabilistic methods in combinatorics and combinatorial optimization
  • Year:
  • 2002

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Abstract

We study recursions that are traditional in the context of binary search trees and quicksort with the (non-standard) toll function Hn.