Sorting permutations by prefix reversals and suffix reversals
Problems of sorting permutations by fragmentation-weighted operations
| Full text | |
| Author(s): |
Alexandrino, Alexsandro Oliveira
;
Santos Miranda, Guilherme Henrique
;
Lintzmayer, Carla Negri
;
Dias, Zanoni
Total Authors: 4
|
| Document type: | Journal article |
| Source: | ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE; v. 346, p. 12-pg., 2019-08-30. |
| Abstract | |
Genome rearrangements are events that affect large portions of a genome. When using the rearrangement distance to compare two genomes, one wants to find a minimum cost sequence of rearrangements that transforms one into another. Since we represent genomes as permutations, we can reduce this problem to the problem of sorting a permutation with a minimum cost sequence of rearrangements. In the traditional approach, we consider that all rearrangements are equally likely to occur and we set a unitary cost for all rearrangements. However, there are two variations of the problem motivated by the observation that rearrangements involving large segments of a genome rarely occur. The first variation adds a restriction to the rearrangement's length. The second variation uses a cost function based on the rearrangement's length. In this work, we present approximation algorithms for five problems combining both variations, that is, problems with a length-limit restriction and a cost function based on the rearrangement's length. (AU) | |
| FAPESP's process: | 17/12646-3 - Déjà vu: feature-space-time coherence from heterogeneous data for media integrity analytics and interpretation of events |
| Grantee: | Anderson de Rezende Rocha |
| Support Opportunities: | Research Projects - Thematic Grants |
| 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: | 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: | 17/16246-0 - Sensitive media analysis through deep learning architectures |
| Grantee: | Sandra Eliza Fontes de Avila |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/16871-1 - Problems of sorting permutations by fragmentation-weighted operations |
| Grantee: | Alexsandro Oliveira Alexandrino |
| Support Opportunities: | Scholarships in Brazil - Master |