Title
Approximation Algorithms for Sorting Permutations by Fragmentation-Weighted Operations.
Abstract
Rearrangements are mutations that affect large portions of a genome. When comparing two genomes, one wants to find a sequence of rearrangements that transforms one into another. When we use permutations to represent the genomes, this reduces to the problem of sorting a permutation using some sequence of rearrangements. The traditional approach is to find a sequence of minimum length. However, some studies show that some rearrangements are more likely to disturb an individual, and so a weighted approach is closer to the real evolutionary process. Most weighted approaches consider that the cost of a rearrangement can be related to its type or to the number of elements affected by it. This work introduces a new type of cost function, which is related to the amount of fragmentation caused by a rearrangement. We present some results about lower and upper bounds for the fragmentation-weighted problems and the relation between the unweighted and the fragmentation-weighted approach. Our main results are 2-approximation algorithms for 5 versions of the fragmentation-weighted problem involving reversals and transpositions events.
Year
DOI
Venue
2018
10.1007/978-3-319-91938-6_5
ALGORITHMS FOR COMPUTATIONAL BIOLOGY (ALCOB 2018)
Keywords
DocType
Volume
Genome rearrangements,Sorting permutations,Approximation algorithms
Conference
10849
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Alexsandro Oliveira Alexandrino103.38
Carla Negri Lintzmayer2269.14
Zanoni Dias326244.40