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The Computer Journal
Article . 1993 . Peer-reviewed
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A Linear Time Algorithm for Finding Minimal Perfect Hash Functions

A linear time algorithm for finding minimal perfect hash functions
Authors: Bohdan S. Majewski; Zbigniew J. Czech;

A Linear Time Algorithm for Finding Minimal Perfect Hash Functions

Abstract

Summary: A new algorithm for finding minimal perfect hash functions (MPHF) is proposed. The algorithm given three pseudorandom functions \(h_ 0\), \(h_ 1\) and \(h_ 2\), searches for a function \(g\) such that \(F(w)=(h_ 0(w)+g(h_ 1(w))+g(h_ 2(w))) \bmod m\) is a MPHF, where \(m\) is a number of input words. The algorithm involves generation of random bipartite graphs and runs in linear time. The hash function generated is represented by using \(2m+O(1)\) memory words of log \(m\) bits each. The empirical observations show that the algorithm runs very fast in practice.

Keywords

random bipartite graphs, Analysis of algorithms and problem complexity, pseudorandom functions, Theory of data, perfect hash functions

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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!
5
Average
Top 10%
Average
bronze