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Comparing RNA Structures: Towards an Intermediate Model Between the Edit and the Lapcs Problems

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Advances in Bioinformatics and Computational Biology (BSB 2007)

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Abstract

In the recent past, RNA structure comparison has appeared as an important field of bioinformatics. In this paper, we introduce a new and general intermediate model for comparing RNA structures: the Maximum Arc-Preserving Common Subsequence problem (or Mapcs). This new model lies between two well-known problems – namely the Longest Arc-Preserving Common Subsequence (Lapcs) and the Edit distance. After showing the relationship between Mapcs, Lapcs, Edit, and also the Maximum Linear Graph problem, we will investigate the computational complexity landscape of Mapcs, depending on the RNA structure complexity.

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References

  1. Alber, J., Gramm, J., Guo, J., Niedermeier, R.: Computing the similarity of two sequences with nested arc annotations. Th. Comp. Science 312(2), 337–358 (2004)

    Article  MATH  Google Scholar 

  2. Bafna, V., Muthukrishnan, S., Ravi, R.: Computing similarity between RNA strings. In: Galil, Z., Ukkonen, E. (eds.) Combinatorial Pattern Matching. LNCS, vol. 937, pp. 1–16. Springer, Heidelberg (1995)

    Google Scholar 

  3. Bernhart, F., Kainen, P.C.: The book thickness of a graph. Journal of Combinatorial Theory, Series B 27(3), 320–331 (1979)

    Article  MATH  Google Scholar 

  4. Biedl, T., Kant, G., Kaufmann, M.: On triangulating planar graphs under the four-connectivity constraint. Algorithmica 19, 427–446 (1997)

    Article  MATH  Google Scholar 

  5. Blin, G., Fertin, G., Rizzi, R., Vialette, S.: What makes the arc-preserving subsequence problem hard ? Trans. on Comp. Systems Biology 2, 1–36 (2005)

    Article  Google Scholar 

  6. Blin, G., Fertin, G., Rusu, I., Sinoquet, C.: Extending the hardness of RNA secondary structure comparison. In: (ESCAPE). intErnational Symposium on Combinatorics, Algorithms, Probabilistic and Experimental methodologies. Springer, Heidelberg (to appear 2007)

    Google Scholar 

  7. Blin, G., Touzet, H.: How to compare arc-annotated sequences: The alignment hierarchy. In: Crestani, F., Ferragina, P., Sanderson, M. (eds.) SPIRE 2006. LNCS, vol. 4209, pp. 291–303. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Bose, P., Buss, J.F., Lubiw, A.: Pattern matching for permutations. Information Processing Letters 65(5), 277–283 (1998)

    Article  Google Scholar 

  9. Davydov, E., Batzoglou, S.: A computational model for RNA multiple structural alignment. Theoretical Computer Science 368(3), 205–216 (2006)

    Article  MATH  Google Scholar 

  10. Evans, P.: Algorithms and Complexity for Annotated Sequences Analysis. PhD thesis, University of Victoria (1999)

    Google Scholar 

  11. Evans, P.A.: Finding common RNA pseudoknot structures in polynomial time. In: Lewenstein, M., Valiente, G. (eds.) CPM 2006. LNCS, vol. 4009, pp. 223–232. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Goldman, D., Istrail, S., Papadimitriou, C.H.: Algorithmic aspects of protein structure similarity. In: Found. of Comp. Science (FOCS), pp. 512–522 (1999)

    Google Scholar 

  13. Gramm, J., Guo, J., Niedermeier, R.: Pattern matching for arc-annotated sequences. In: Agrawal, M., Seth, A.K. (eds.) FST TCS 2002. LNCS, vol. 2556, pp. 182–193. Springer, Heidelberg (2002)

    Google Scholar 

  14. Hirschberg, D.S.: The longest common subsequence problem. PhD thesis, Princeton University (1975)

    Google Scholar 

  15. Jiang, T., Lin, G.-H., Ma, B., Zhang, K.: The longest common subsequence problem for arc-annotated sequences. In: Giancarlo, R., Sankoff, D. (eds.) CPM 2000. LNCS, vol. 1848, pp. 154–165. Springer, Heidelberg (2000)

    Google Scholar 

  16. Kubica, M., Rizzi, R., Vialette, S., Walen, T.: Approximation of RNA multiple structural alignment. In: Lewenstein, M., Valiente, G. (eds.) CPM 2006. LNCS, vol. 4009, pp. 211–222. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  17. Lin, G.H., Ma, B., Zhang, K.: Edit distance between two RNA structures. In (RECOMB). Int. Conf. on Computational Biology, pp. 211–220. ACM Press, New York (2001)

    Google Scholar 

  18. Lozano, A., Valiente, G.: String Algorithmics. In: On the maximum common embedded subtree problem for ordered trees, ch. 7, pp. 155–169. King’s College London Publications (2004)

    Google Scholar 

  19. Vialette, S.: On the computational complexity of 2-interval pattern matching problems. Theoretical Computer Science 312(2-3), 223–249 (2004)

    Article  MATH  Google Scholar 

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Marie-France Sagot Maria Emilia M. T. Walter

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Blin, G., Fertin, G., Herry, G., Vialette, S. (2007). Comparing RNA Structures: Towards an Intermediate Model Between the Edit and the Lapcs Problems. In: Sagot, MF., Walter, M.E.M.T. (eds) Advances in Bioinformatics and Computational Biology. BSB 2007. Lecture Notes in Computer Science(), vol 4643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73731-5_10

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  • DOI: https://doi.org/10.1007/978-3-540-73731-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73730-8

  • Online ISBN: 978-3-540-73731-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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