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Alignment with Non-overlapping Inversions on Two Strings

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Algorithms and Computation (WALCOM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8344))

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Abstract

The inversion is one of the important operations in bio sequence analysis and the sequence alignment problem is well-studied for efficient bio sequence comparisons. Based on inversion operations, we introduce the alignment with non-overlapping inversion problem: Given two stringsĀ x and y, does there exist an alignment with non-overlapping inversions for x and y. We, in particular, consider the alignment problem when non-overlapping inversions are allowed for both x and y. We design an efficient algorithm that determines the existence of non-overlapping inversions and present another efficient algorithm that retrieves such an alignment, if exists.

This research was supported by the Basic Science Research Program through NRF funded by MESTĀ (2012R1A1A2044562).

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References

  1. Cantone, D., Cristofaro, S., Faro, S.: Efficient string-matching allowing for non-overlapping inversions. Theoretical Computer ScienceĀ 483, 85ā€“95 (2013)

    ArticleĀ  MATHĀ  MathSciNetĀ  Google ScholarĀ 

  2. Cantone, D., Faro, S., Giaquinta, E.: Approximate string matching allowing for inversions and translocations. In: Proceedings of the Prague Stringology Conference 2010, pp. 37ā€“51 (2010)

    Google ScholarĀ 

  3. Chen, Z.-Z., Gao, Y., Lin, G., Niewiadomski, R., Wang, Y., Wu, J.: A space-efficient algorithm for sequence alignment with inversions and reversals. Theoretical Computer ScienceĀ 325(3), 361ā€“372 (2004)

    ArticleĀ  MATHĀ  MathSciNetĀ  Google ScholarĀ 

  4. Grabowski, S., Faro, S., Giaquinta, E.: String matching with inversions and translocations in linear average time (most of the time). Information Processing LettersĀ 111(11), 516ā€“520 (2011)

    ArticleĀ  MATHĀ  MathSciNetĀ  Google ScholarĀ 

  5. Ignatova, Z., Zimmermann, K., Martinez-Perez, I.: DNA Computing Models. Advances in Information Security (2008)

    Google ScholarĀ 

  6. Kececioglu, J.D., Sankoff, D.: Exact and approximation algorithms for the inversion distance between two chromosomes. In: Apostolico, A., Crochemore, M., Galil, Z., Manber, U. (eds.) CPM 1993. LNCS, vol.Ā 684, pp. 87ā€“105. Springer, Heidelberg (1993)

    ChapterĀ  Google ScholarĀ 

  7. Li, S.C., Ng, Y.K.: On protein structure alignment under distance constraint. In: Dong, Y., Du, D.-Z., Ibarra, O. (eds.) ISAAC 2009. LNCS, vol.Ā 5878, pp. 65ā€“76. Springer, Heidelberg (2009)

    ChapterĀ  Google ScholarĀ 

  8. Lipsky, O., Porat, B., Porat, E., Shalom, B.R., Tzur, A.: Approximate string matching with swap and mismatch. In: Tokuyama, T. (ed.) ISAAC 2007. LNCS, vol.Ā 4835, pp. 869ā€“880. Springer, Heidelberg (2007)

    ChapterĀ  Google ScholarĀ 

  9. Ogilvie, C.M., Scriven, P.N.: Meiotic outcomes in reciprocal translocation carriers ascertained in 3-day human embryos. European Journal of Human GeneticsĀ 10(12), 801ā€“806 (2009)

    ArticleĀ  Google ScholarĀ 

  10. Oliver-Bonet, M., Navarro, J., Carrera, M., Egozcue, J., Benet, J.: Aneuploid and unbalanced sperm in two translocation carriers: evaluation of the genetic risk. Molecular Human ReproductionĀ 8(10), 958ā€“963 (2002)

    ArticleĀ  Google ScholarĀ 

  11. Painter, T.S.: A New Method for the Study of Chromosome Rearrangements and the Plotting of Chromosome Maps. ScienceĀ 78, 585ā€“586 (1933)

    ArticleĀ  Google ScholarĀ 

  12. Sakai, Y.: A new algorithm for the characteristic string problem under loose similarity criteria. In: Asano, T., Nakano, S.-i., Okamoto, Y., Watanabe, O. (eds.) ISAAC 2011. LNCS, vol.Ā 7074, pp. 663ā€“672. Springer, Heidelberg (2011)

    ChapterĀ  Google ScholarĀ 

  13. Schƶniger, M., Waterman, M.S.: A local algorithm for DNA sequence alignment with inversions. Bulletin of Mathematical BiologyĀ 54(4), 521ā€“536 (1992)

    MATHĀ  Google ScholarĀ 

  14. Vellozo, A.F., Alves, C.E.R., do Lago, A.P.: Alignment with non-overlapping inversions in O(n 3)-time. In: BĆ¼cher, P., Moret, B.M.E. (eds.) WABI 2006. LNCS (LNBI), vol.Ā 4175, pp. 186ā€“196. Springer, Heidelberg (2006)

    ChapterĀ  Google ScholarĀ 

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Cho, DJ., Han, YS., Kim, H. (2014). Alignment with Non-overlapping Inversions on Two Strings. In: Pal, S.P., Sadakane, K. (eds) Algorithms and Computation. WALCOM 2014. Lecture Notes in Computer Science, vol 8344. Springer, Cham. https://doi.org/10.1007/978-3-319-04657-0_25

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  • DOI: https://doi.org/10.1007/978-3-319-04657-0_25

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04656-3

  • Online ISBN: 978-3-319-04657-0

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