DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 297-306


2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 297-306

author: Alfredo Viola
title: Distributional analysis of Robin Hood linear probing hashing with buckets
keywords: Distributional Analysis, Hashing, Linear Probing, Buckets
abstract: This paper presents the first distributional analysis of a linear probing hashing scheme with buckets of size
. The exact distribution of the cost of successful searches for a
-full table is obtained, and moments and asymptotic results are derived. With the use of the Poisson transform distributional results are also obtained for tables of size
elements. A key element in the analysis is the use of a new family of numbers that satisfies a recurrence resembling that of the Bernoulli numbers. These numbers may prove helpful in studying recurrences involving truncated generating functions, as well as in other problems related with buckets.
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reference: Alfredo Viola (2005), Distributional analysis of Robin Hood linear probing hashing with buckets, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 297-306
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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