
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.
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
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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