Repetition-free longest common subsequence of random sequences

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Repetition-free longest common subsequence of random sequences

A repetition free Longest Common Subsequence (LCS) of two sequences x and y is an LCS of x and y where each symbol may appear at most once. Let R denote the length of a repetition free LCS of two sequences of n symbols each one chosen randomly, uniformly, and independently over a k-ary alphabet. We study the asymptotic, in n and k, behavior of R and establish that there are three distinct regim...

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Repetition-free longest common subsequence

We study the problem of, given two sequences x and y over a finite alphabet, finding a repetitionfree longest common subsequence of x and y. We show several algorithmic results, a complexity result, and we describe a preliminary experimental study based on the proposed algorithms.

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A Comprehensive Comparison of Metaheuristics for the Repetition-Free Longest Common Subsequence Problem

Resumen This paper deals with an NP-hard string problem from the bio-informatics field: the repetition-free longest common subsequence problem. This problem has enjoyed an increasing interest in recent years, which has resulted in the application of several pure as well as hybrid metaheuristics. However, the literature lacks a comprehensive comparison between those approaches. Moreover, it has ...

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A Comprehensive Comparison of Metaheuristics for the Repetition-Free Longest Common Subsequence Problem

Resum This paper deals with an NP-hard string problem from the bio-informatics field: the repetition-free longest common subsequence problem. This problem has enjoyed an increasing interest in recent years, which has resulted in the application of several pure as well as hybrid metaheuristics. However, the literature lacks a comprehensive comparison between those approaches. Moreover, it has be...

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A Comprehensive Comparison of Metaheuristics for the Repetition-Free Longest Common Subsequence Problem

This paper deals with an NP-hard string problem from the bio-informatics field: the repetition-free longest common subsequence problem. This problem has enjoyed an increasing interest in recent years, which has resulted in the application of several pure as well as hybrid metaheuristics. However, the literature lacks a comprehensive comparison between those approaches. Moreover, it has been sho...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2016

ISSN: 0166-218X

DOI: 10.1016/j.dam.2015.07.005