| 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.
|
| If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |
| 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. |
| ps.gz-source: | dmAD0127.ps.gz (81 K) |
| ps-source: | dmAD0127.ps (198 K) |
| pdf-source: | dmAD0127.pdf (112 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.