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Journal of Algorithms
Article . 2001 . Peer-reviewed
License: Elsevier TDM
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Article . 2001
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Article . 2017
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Deterministic Dictionaries

Deterministic dictionaries
Authors: Hagerup, Torben; Miltersen, Peter Bro; Pagh, Rasmus;

Deterministic Dictionaries

Abstract

Summary: It is shown that a static dictionary that offers constant-time access to \(n\) elements with \(w\)-bit keys and occupies \(O(n)\) words of memory can be constructed deterministically in \(O(n\log n)\) time on a unit-cost RAM with word length \(w\) and a standard instruction set including multiplication. Whereas a randomized construction working in linear expected time was known, the running time of the best previous deterministic algorithm was \(\Omega(n^2)\). Using a standard dynamization technique, the first deterministic dynamic dictionary with constant lookup time and sublinear update time is derived. The new algorithms are weakly nonuniform; i.e., they require access to a fixed number of precomputed constants dependent on \(w\). The main technical tools employed are unit-cost error-correcting codes, word parallelism, and derandomization using conditional expectations.

Country
Germany
Keywords

Data structures, Information storage and retrieval of data, error-correcting codes, deterministic dictionaries

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selected citations
These citations are derived from selected sources.
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!
65
Top 10%
Top 10%
Top 10%
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