Solving longest common subsequence problems via a transformation to the maximum clique problem - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Computers and Operations Research Année : 2021

Solving longest common subsequence problems via a transformation to the maximum clique problem

(1) , , (2) , (3) , (4, 5) , (1) ,
1
2
3
4
5

Résumé

Longest common subsequence problems find various applications in bioinformatics, data compression and text editing, just to name a few. Even though numerous heuristic approaches were published in the related literature for many of the considered problem variants during the last decades, solving these problems to optimality remains an important challenge. This is particularly the case when the number and the length of the input strings grows. In this work we define a new way to transform instances of the classical longest common subsequence problem and of some of its variants into instances of the maximum clique problem. Moreover, we propose a technique to reduce the size of the resulting graphs. Finally, a comprehensive experimental evaluation using recent exact and heuristic maximum clique solvers is presented. Numerous, so-far unsolved problem instances from benchmark sets taken from the literature were solved to optimality in this way. (C) 2020 Elsevier Ltd. All rights reserved.
Fichier non déposé

Dates et versions

hal-03636411 , version 1 (10-04-2022)

Identifiants

Citer

Christian Blum, Marko Djukanovic, Alberto Santini, Hua Jiang, Chu-Min Li, et al.. Solving longest common subsequence problems via a transformation to the maximum clique problem. Computers and Operations Research, 2021, 125, ⟨10.1016/j.cor.2020.105089⟩. ⟨hal-03636411⟩
35 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More