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Exact and kernelization algorithms for Closet String

Authors: Omar Latorre;

Exact and kernelization algorithms for Closet String

Abstract

In this paper we address CLOSEST STRING problem that arises in web searching, coding theory and computational molecular biology. To solve it is to find a string that minimizes the maximum Hamming distance from a given set of strings. CLOSEST STRING is an NP-hard problem. This paper proposes two linear-time algorithms, one for the general case, a kernelization algorithm, and the other for three-strings, a linear-time algorithm called Minimization First Algorithm (MFA). A formal proof of the correctness and the computational complexity of the proposed algorithms are given.

Keywords

closest string problem, T57-57.97, Applied mathematics. Quantitative methods, Algoritmo de parámetro fijo, Closest String Problem, Optimización combinatoria, exact algorithm, Exact Algorithm, Fixed Parameter Algorithm, Kernelización, Combinatorial Optimization, Algoritmo exacto, fixed parameter algorithm, kernelization, QA1-939, Kernelization, Problema de la subsecuencia de caracteres más próxima, combinatorial optimization, Mathematics

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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!
0
Average
Average
Average
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gold