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The Computer Journal 1998 41(3):201-204; doi:10.1093/comjnl/41.3.201
© 1998 by British Computer Society
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Towards a More Precise Analysis of an Algorithm to Generate Binary Trees: A Tutorial

A. Panholzer and H. Prodinger

Institut für Algebra und Diskrete Mathematik, Technical University of Vienna, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria Email: helmut.prodinger{at}tuwien.ac.at

For the analysis of an algorithm to generate binary trees, the behaviour of a certain sequence of numbers is essential. In the original paper, it was expressed by a recursion. Here, we show how to solve this (and similar) recursions, both explicitly and asymptotically. Some additional information about useful mathematical software is also provided.


Received January 20, 1998. revised April 22, 1998.


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