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On some applications of formulae of Ramanujan in the analysis of algorithms

Part of: Discrete mathematics in relation to computer science

Published online by Cambridge University Press:  26 February 2010

P. Kirschenhofer  and
H. Prodinger
P. Kirschenhofer
Affiliation:
Dr. P. Kirschenhofer, Institut für Algebra und Diskrete Mathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria.
H. Prodinger
Affiliation:
Dr. H. Prodinger, Institut für Algebra und Diskrete Mathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria.
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Abstract

Using several transformation formulae from Ramanujan's second Notebook we achieve distribution results on random variables related to dynamic data structures (so-called “tries”). This continues research of Knuth, Flajolet and others via an approach that is completely new in this subject.

MSC classification

Secondary: 68R10: Graph theory (including graph drawing)
Type
Research Article
Information
Mathematika , Volume 38 , Issue 1 , June 1991 , pp. 14 - 33
Copyright
Copyright © University College London 1991

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