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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the Complexity of Some Variations of Sorting by Transpositions

Author(s):
Alexandrino, Alexsandro Oliveira [1] ; Oliveira, Andre Rodrigues [1] ; Dias, Ulisses [2] ; Dias, Zanoni [1]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, Inst Comp, Campinas, SP - Brazil
[2] Univ Estadual Campinas, Sch Technol, Limeira, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF UNIVERSAL COMPUTER SCIENCE; v. 26, n. 9, p. 1076-1094, 2020.
Web of Science Citations: 0
Abstract

One of the main challenges in Computational Biology is to find the evolutionary distance between two organisms. In the field of comparative genomics, one way to estimate such distance is to find a minimum cost sequence of rearrangements (large scale mutations) needed to transform one genome into another, which is called the rearrangement distance. In the past decades, these problems were studied considering many types of rearrangements (such as reversals, transpositions, transreversals, and revrevs) and considering the same weight for all rearrangements, or different weights depending on the types of rearrangements. The complexity of the problems involving reversals, transpositions, and both rearrangements is known, even though the hardness proof for the problem combining reversals and transpositions was recently given. In this paper, we enhance the knowledge for these problems by proving that models involving transpositions alongside reversals, transreversals, and revrevs are NP-hard, considering weights w(1) for reversals and w(2) for the other rearrangements such that w(2)/w(1) <= 1.5. In addition, we address a cost function related to the number of fragmentations caused by a rearrangement, proving that the problem of finding a minimum cost sorting sequence, considering the fragmentation cost function with some restrictions, is NP-hard for transpositions and the combination of reversals and transpositions. (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: 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: 19/27331-3 - Sorting by genome rearrangements problems
Grantee:André Rodrigues Oliveira
Support Opportunities: Scholarships in Brazil - Post-Doctoral
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