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On the median-of-k version of Hoare's selection algorithm

Rudolf Grübel (2010)

RAIRO - Theoretical Informatics and Applications

In Hoare's (1961) original version of the algorithm   the partitioning element in the central divide-and-conquer step is chosen uniformly at random from the set S in question. Here we consider a variant where this element is the median of a sample of size 2k+1 from S. We investigate convergence in distribution of the number of comparisons required and obtain a simple explicit result for the limiting average performance of the median-of-three version.

On the stack-size of general tries

Jérémie Bourdon, Markus Nebel, Brigitte Vallée (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Digital trees or tries are a general purpose flexible data structure that implements dictionaries built on words. The present paper is focussed on the average-case analysis of an important parameter of this tree-structure, i.e., the stack-size. The stack-size of a tree is the memory needed by a storage-optimal preorder traversal. The analysis is carried out under a general model in which words are produced by a source (in the information-theoretic sense) that emits symbols. Under some natural assumptions...

On the Stack-Size of General Tries

Jérémie Bourdon, Markus Nebel, Brigitte Vallée (2010)

RAIRO - Theoretical Informatics and Applications

Digital trees or tries are a general purpose flexible data structure that implements dictionaries built on words. The present paper is focussed on the average-case analysis of an important parameter of this tree-structure, i.e., the stack-size. The stack-size of a tree is the memory needed by a storage-optimal preorder traversal. The analysis is carried out under a general model in which words are produced by a source (in the information-theoretic sense) that emits symbols. Under some natural...

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