A 1.375-approximation algorithm for sorting by transpositions.

Isaac Elias; Tzvika Hartman

doi:10.1109/tcbb.2006.44

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PubMed · 17085846

A 1.375-approximation algorithm for sorting by transpositions.

Isaac Elias·Tzvika Hartman

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Abstract

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.

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Algorithms Chromosome Mapping DNA Mutational Analysis DNA Transposable Elements Evolution, Molecular Linkage Disequilibrium Sequence Analysis, DNA Journal Article

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Isaac Elias, Tzvika Hartman. A 1.375-approximation algorithm for sorting by transpositions.. https://doi.org/10.1109/tcbb.2006.44

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