A meticulous analysis of mergesort programs:

Abstract: "The efficiency of mergesort programs is analysed under a simple unit-cost model. In our analysis the time performance of the sorting programs includes the costs of key comparisons, element moves and address calculations. The goal is to establish the best possible time- bound relative...

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Bibliographic Details
Main Authors: Katajainen, Jyrki (Author), Träff, Jesper Larsson (Author)
Format: Book
Language:English
Published: København 1996
Series:Datalogisk Institut <København>: DIKU-Rapport 1996,41
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Summary:Abstract: "The efficiency of mergesort programs is analysed under a simple unit-cost model. In our analysis the time performance of the sorting programs includes the costs of key comparisons, element moves and address calculations. The goal is to establish the best possible time- bound relative to the model when sorting n integers. By the well-known information-theoretic argument n log₂ n - O(n) is a lower bound for the integer-sorting problem in our framework. New implementations for two-way and four-way bottom-up mergesort are given, the worst-case complexities of which are shown to be bounded by 5.5n log₂ n + O(n) and 3.25n log₂ n + O(n), respectively. The theoretical findings are backed up with a series of experiments which show the practical relevance of our analysis when implementing library routines for internal-memory computations."
Physical Description:12 S.

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