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Heuristics for Breakpoint Graph Decomposition with Applications in Genome Rearrangement Problems

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Author(s):
Pinheiro, Pedro Olimpio ; Alexandrino, Alexsandro Oliveira ; Oliveira, Andre Rodrigues ; de Souza, Cid Carvalho ; Dias, Zanoni ; Setubal, JC ; Silva, WM
Total Authors: 7
Document type: Journal article
Source: ADVANCES IN BIOINFORMATICS AND COMPUTATIONAL BIOLOGY, BSB 2020; v. 12558, p. 12-pg., 2020-01-01.
Abstract

The breakpoint graph of a permutation is a well-known structure used in genome rearrangement problems. Most studies use the decomposition of such graph into edge-colored disjoint alternating cycles to develop algorithms for these problems. The goal of the Breakpoint Graph Decomposition (BGD) problem is to find a decomposition of the breakpoint graph with maximum number of cycles. For unsigned permutations, which model genomes without information about gene orientation, the BGD problem is NP-hard. In this work, we developed a greedy and a Tabu Search algorithm which are compared experimentally with the approximation algorithm presented by Lin and Jiang [10]. The experiments revealed that our algorithms find significantly better solutions. Finally, we used our algorithms as part of algorithms for genome rearrangement problems and the distances calculated in this way have largely improved. (AU)

FAPESP's process: 19/25410-3 - Partition of Eulerian graphs in circuits
Grantee:Pedro Olímpio Nogueira de Oliveira Pinheiro
Support Opportunities: Scholarships in Brazil - Master
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: 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
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