Approximation algorithms for sorting by length-weighted prefix and suffix operations

Autor(es)

Lintzmayer, Carla Negri ^[1] ; Fertin, Guillaume ^[2] ; Dias, Zanoni ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Comp, BR-13083852 Campinas, SP - Brazil

^[2] Univ Nantes, UMR CNRS 6241, Lab Informat Nantes Atlantique, F-44322 Nantes 3 - France

• Tipo de documento: Artigo Científico
• Fonte: THEORETICAL COMPUTER SCIENCE; v. 593, p. 26-41, AUG 16 2015.
• Citações Web of Science: 2

Resumo

The traditional approach for the problems of sorting permutations by rearrangements is to consider that all operations have the same unitary cost. In this case, the goal is to find the minimum number of allowed rearrangements that are needed to sort a given permutation, and numerous efforts have been made over the past years regarding these problems. On the other hand, a long rearrangement (which is in fact a mutation) is more likely to disturb the organism. Therefore, weights based on the length of the segment involved may have an important role in the evolutionary process. In this paper we present the first results regarding problems of sorting permutations by length-weighted operations that consider rearrangement models with prefix and suffix variations of reversals and transpositions, which are the two most common types of genome rearrangements. Our main results are O (lg(2) n)-approximation algorithms for 10 such problems. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/01172-0 - O problema da ordenação de permutações usando operações de prefixo e sufixo
• Beneficiário: Carla Negri Lintzmayer
• Linha de fomento: Bolsas no Brasil - Doutorado Direto
• Processo FAPESP: 14/19401-8 - Algoritmos para rearranjos de genomas
• Beneficiário: Zanoni Dias
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/20738-7 - Ordenação de permutações por reversões de prefixo e reversões de sufixo
• Beneficiário: Carla Negri Lintzmayer
• Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado Direto
• Processo FAPESP: 13/08293-7 - CECC - Centro de Engenharia e Ciências Computacionais
• Beneficiário: Munir Salomao Skaf
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs