A 1.375-Approximation Algorithm for Sorting by Transpositions

A 1.375-Approximation Algorithm for Sorting by Transpositions

Sorting permutations by transpositions is an important problem in genome rearrangements. A transposition is a rearrangement operation in which a segment is cut out of the permutation and pasted in a different location. The complexity of this problem is still open and it has been a 10-year-old open p...

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Veröffentlicht in:IEEE/ACM transactions on computational biology and bioinformatics 2006-10, Vol.3 (4), p.369-379
Hauptverfasser: Elias, I., Hartman, T.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Approximation algorithms
Bioinformatics
Chromosome Mapping - methods
Computational biology
Computer science
Datavetenskap
DNA Mutational Analysis - methods
DNA Transposable Elements - genetics
Evolution (biology)
Evolution, Molecular
Genetic mutations
genome rearrangements
Genomics
Information technology
Informationsteknik
Linkage Disequilibrium - genetics
Organisms
Robustness
Sequence Analysis, DNA - methods
Sequences
Sorting
sorting permutations by transpositions
TECHNOLOGY
TEKNIKVETENSKAP
Upper bound
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Beschreibung
Zusammenfassung:Sorting permutations by transpositions is an important problem in genome rearrangements. A transposition is a rearrangement operation in which a segment is cut out of the permutation and pasted in a different location. The complexity of this problem is still open and it has been a 10-year-old open problem to improve the best known 1.5-approximation algorithm. In this paper, we provide a 1.375-approximation algorithm for sorting by transpositions. The algorithm is based on a new upper bound on the diameter of 3-permutations. In addition, we present some new results regarding the transposition diameter: We improve the lower bound for the transposition diameter of the symmetric group and determine the exact transposition diameter of simple permutations
ISSN:1545-5963
1557-9964
1557-9964
DOI:10.1109/TCBB.2006.44