A 1.5-Approximation Algorithm for Sorting by Transpositions and Transreversals

One of the most promising ways to determine evolutionary distance between two organisms is to compare the order of appearance of orthologous genes in their genomes. The resulting genome rearrangement problem calls for finding a shortest sequence of rearrangement operations that sorts one genome into...

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description One of the most promising ways to determine evolutionary distance between two organisms is to compare the order of appearance of orthologous genes in their genomes. The resulting genome rearrangement problem calls for finding a shortest sequence of rearrangement operations that sorts one genome into the other. In this paper we provide a 1.5-approximation algorithm for the problem of sorting by transpositions and transreversals, improving on a five years old 1.75 ratio for this problem. Our algorithm is also faster than current approaches and requires \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$O(n^{3/2} \sqrt{\log{n}})$\end{document} time for n genes.
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subjects 14th Annual Symposium
Algorithmics. Computability. Computer arithmetics
Applied sciences
Biological and medical sciences
Black Edge
Breakpoint Graph
Canonical Labelling
Computer science
control theory
systems
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
General aspects
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Signed Permutation
Theoretical computing
title A 1.5-Approximation Algorithm for Sorting by Transpositions and Transreversals
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