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arXiv.org e-Print Archive
Preprint . 2003
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2003
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Probabilistic behavior of hash tables

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003Embargo end date: 01 Jan 2003Publisher:arXiv
Authors: Hong, Dawei; Birget, Jean-Camille; Man, Shushuang;

doi: 10.48550/arxiv.cs/0303022

arXiv: http://arxiv.org/abs/cs/0303022

Probabilistic behavior of hash tables

Abstract

We extend a result of Goldreich and Ron about estimating the collision probability of a hash function. Their estimate has a polynomial tail. We prove that when the load factor is greater than a certain constant, the estimator has a gaussian tail. As an application we find an estimate of an upper bound for the average search time in hashing with chaining, for a particular user (we allow the overall key distribution to be different from the key distribution of a particular user). The estimator has a gaussian tail.

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Keywords

FOS: Computer and information sciences, Computer Science - Databases, E.2, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), Databases (cs.DB)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green