Title
A sparse dynamic programming algorithm for alignment with non-overlapping inversions
Abstract
Alignment of sequences is widely used for biological sequence comparisons, and only biological events like mutations, insertions and deletions are considered. Other biological events like inversions are not automatically detected by the usual alignment algorithms, thus some alternative approaches have been tried in order to include inversions or other kinds of rearrangements. Despite many important results in the last decade, the complexity of the problem of alignment with inversions is still unknown. In 1992, Schoniger and Waterman proposed the simplification hypothesis that the inversions do not overlap. They also presented an O(n(6)) exact solution for the alignment with non-overlapping inversions problem and introduced a heuristic for it that brings the average case complexity down. (In this work, n is the maximal length of both sequences that are aligned.) The present paper gives two exact algorithms for the simplified problem. We give a quite simple dynamic program with O(n(4))-time and O(n(2))-space complexity for alignments with non-overlapping inversions and exhibit a sparse and exact implementation version of this procedure that uses much less resources for some applications with real data.
Year
DOI
Venue
2005
10.1051/ita:2005011
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
DocType
Volume
Issue
Journal
39
1
ISSN
Citations 
PageRank 
0988-3754
1
0.36
References 
Authors
9
3
Name
Order
Citations
PageRank
Alair Pereira Do Lago110610.10
Ilya Muchnik232347.03
casimir a kulikowski3616299.37