On the 1.375-Approximation Algorithm for Sorting by Transpositions in O(n log n) Time

被引:0
作者
Cunha, Luis Felipe I. [1 ]
Kowada, Luis Antonio B. [2 ]
Hausen, Rodrigo de A. [3 ]
de Figueiredo, Celina M. H. [1 ]
机构
[1] Univ Fed Rio de Janeiro, BR-21941 Rio De Janeiro, Brazil
[2] Univ Fed Fluminense, Niteroi, RJ, Brazil
[3] Univ Fed ABC, Santo Andre, Brazil
来源
ADVANCES IN BIOINFORMATICS AND COMPUTATIONAL BIOLOGY | 2013年 / 8213卷
关键词
comparative genomics; genome rearrangement; sorting by transpositions; approximation algorithms; SIGNED PERMUTATIONS; REVERSALS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Sorting by Transpositions is an NP-hard problem. Elias and Hartman proposed a 1.375-approximation algorithm, the best ratio so far, which runs in O(n(2)) time. Firoz et al. proposed an improvement to the running time, from O(n(2)) down to O(n log n), using Feng and Zhu's permutation trees. We provide counter-examples to the correctness of Firoz et al.' s strategy, showing that it is not possible to reach a component by sufficient extensions using the method proposed by them.
引用
收藏
页码:126 / 135
页数:10
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