Sorting permutations by prefix reversals and suffix reversals
The sorting permutations problem using prefix and suffix operations
Problems of sorting permutations by fragmentation-weighted operations
| Full text | |
| Author(s): |
Lintzmayer, Carla Negri
;
Fertin, Guillaume
;
Dias, Zanoni
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF BIOINFORMATICS AND COMPUTATIONAL BIOLOGY; v. 15, n. 1 FEB 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
Some interesting combinatorial problems have been motivated by genome rearrangements, which are mutations that affect large portions of a genome. When we represent genomes as permutations, the goal is to transform a given permutation into the identity permutation with the minimum number of rearrangements. When they affect segments from the beginning (respectively end) of the permutation, they are called prefix (respectively suffix) rearrangements. This paper presents results for rearrangement problems that involve prefix and suffix versions of reversals and transpositions considering unsigned and signed permutations. We give 2- approximation and (2 +lambda)-approximation algorithms for these problems, where lambda is a constant divided by the number of breakpoints (pairs of consecutive elements that should not be consecutive in the identity permutation) in the input permutation. We also give bounds for the diameters concerning these problems and provide ways of improving the practical results of our algorithms. (AU) | |
| FAPESP's process: | 13/08293-7 - CCES - Center for Computational Engineering and Sciences |
| Grantee: | Munir Salomao Skaf |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 14/20738-7 - Sorting permutations by prefix reversals and suffix reversals |
| Grantee: | Carla Negri Lintzmayer |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate (Direct) |
| FAPESP's process: | 15/11937-9 - Investigation of hard problems from the algorithmic and structural stand points |
| Grantee: | Flávio Keidi Miyazawa |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/19401-8 - Genome rearrangement algorithms |
| Grantee: | Zanoni Dias |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/14132-4 - One and two-dimensional bin packing with conflicts and unloading restrictions |
| Grantee: | Carla Negri Lintzmayer |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/01172-0 - The sorting permutations problem using prefix and suffix operations |
| Grantee: | Carla Negri Lintzmayer |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |