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Partial enumeration of solutions traces for the problem of sorting by signed reversals

Published: 01 August 2011 Publication History

Abstract

Traditional algorithms to solve the problem of sorting by signed reversals output just one optional solution while the space of optimal solutions can be huge. Algorithms for enumerating the complete set of solutions traces were developed aiming to support biologists studies of alternative evolutionary scenarios. Due to the exponential complexity of the algorithms, their practical use is limited to small permutations. In this work, we propose and evaluate three different approaches to producing a partial enumeration of the complete set of traces to transform a given permutation to another one.

References

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C. Baudet and Z. Dias. An improved algorithm to enumerate all traces that sort a signed permutation by reversals. In Proceedings of the 25th Symposium On Applied Computing (ACM SAC 2010), Sierre, Switzerland, March 2010. 5 pages, Bioinformatics Track.
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C. Baudet and Z. Dias. Partial Enumeration of Traces of Solutions for the Problem of Sorting by Signed Reversals. Technical Report IC-11-12, Institute of Computing, University of Campinas, May 2011. In English, 20 pages.
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A. Bergeron, C. Chauve, T. Hartman, and K. Saint-Onge. On the properties of sequences of reversals that sort a signed permutation. In Proceedings of the JOBIM 2002, pages 99--108, Saint Malo, 2002.
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M. D. V. Braga. Exploring the Solution Space of Sorting by Reversals When Analyzing Genome Rearrangements. PhD thesis, Université Lyon 1, France, 2008.
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M. D. V. Braga, M.-F. Sagot, C. Scornavacca, and E. Tannier. Exploring the solution space of sorting by reversals with experiments and an application to evolution. Transactions on Computational Biology and Bioinformatics, 5(3):348--356, 2008.
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  1. Partial enumeration of solutions traces for the problem of sorting by signed reversals

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        cover image ACM Conferences
        BCB '11: Proceedings of the 2nd ACM Conference on Bioinformatics, Computational Biology and Biomedicine
        August 2011
        688 pages
        ISBN:9781450307963
        DOI:10.1145/2147805
        • General Chairs:
        • Robert Grossman,
        • Andrey Rzhetsky,
        • Program Chairs:
        • Sun Kim,
        • Wei Wang
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        Published: 01 August 2011

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