Abstract
Compact bases formed by motifs called ”irredundant” and capable of generating all other motifs in a sequence have been proposed in [8,10] and successfully tested in tasks of biosequence analysis and classification. Given a sequence s of n characters drawn from an alphabet Σ, the problem of extracting such a base from s had been previously solved in time O(|Σ|n 2 logn) and O(|Σ|n 2 logn), respectively in [9] and [7], through resort to the FFT-based string searching by Fischer and Paterson [5]. More recently, a solution taking time O(|Σ|n 2) without resort to the FFT was also devised [4].
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References
Apostolico, A., Galil, Z. (eds.): Pattern matching algorithms. Oxford University Press, New York (1997)
Apostolico, A.: Pattern discovery and the algorithmics of surprise. Artificial Intelligence and Heuristic Methods for Bioinformatics, 111–127 (2003)
Apostolico, A., Parida, L.: Incremental paradigms of motif discovery. Journal of Computational Biology 11(1), 15–25 (2004)
Apostolico, A., Tagliacollo, C.: Optimal extraction of irredundant motif bases. In: Lin, G. (ed.) Proceedings of COCOON 2007. LNCS, vol. 4598, pp. 360–371. Springer, Heidelberg (2007)
Fischer, M.J., Paterson, M.S.: String matching and other products. In: Karp, R. (ed.) Proceedings of the SIAM-AMS Complexity of Computation, American Mathematical Society, Providence, R.I, pp. 113–125 (1974)
Navarro, G.: A guided tour to approximate string matching. ACM Computing Surveys 33(1), 31–88 (2001)
Pelfrêne, J., Abdeddaïm, S., Alexandre, J.: Extracting approximate patterns. Journal of Discrete Algorithms 3(2-4), 293–320 (2005)
Parida, L.: Algorithmic Techniques in Computational Genomics. PhD thesis, Department of Computer Science, New York University (1998)
Pisanti, N., Crochemore, M., Grossi, R., Sagot, M.-F.: Bases of motifs for generating repeated patterns with wild cards. IEEE/ACM Trans. Comput. Biol. Bioinformatics 2(1), 40–50 (2005)
Parida, L., Rigoutsos, I., Floratos, A., Platt, D., Gao, Y.: Pattern discovery on character sets and real-valued data: linear bound on irredundant motifs and an efficient polynomial time algorithm. In: Symposium on Discrete Algorithms, pp. 297–308 (2000)
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Apostolico, A., Tagliacollo, C. (2007). Incremental Discovery of Irredundant Motif Bases in Time O(|Σ|n 2 logn). In: Giancarlo, R., Hannenhalli, S. (eds) Algorithms in Bioinformatics. WABI 2007. Lecture Notes in Computer Science(), vol 4645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74126-8_13
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DOI: https://doi.org/10.1007/978-3-540-74126-8_13
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