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
b
. The exact distribution of the cost of successful
searches for a
bα
-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
m
and
n
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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