Abstract
Circular DNA sequences can be found in viruses, as plasmids in archaea and bacteria, and in the mitochondria and plastids of eukaryotic cells. Hence, circular sequence comparison finds applications in several biological contexts (Barton et al., Experimental algorithms. Lecture notes in computer science, vol 9125, pp 247–258, 2015; Barton et al., Algorithms Mol Biol 9(9):2014; Uliel et al., Protein Eng 14(8):533–542, 2001). This motivates the design of efficient algorithms (Barton et al., Language and automata theory and applications. Lecture notes in computer science, vol 8977, pp 85–96. Springer, Berlin, 2015) and data structures (Hon et al., Combinatorial pattern matching. Lecture notes in computer science, vol 7922, pp 142–152. Springer, Berlin/Heidelberg, 2013) that are devoted to the specific comparison of circular sequences, as they can be relevant in the analysis of organisms with such structure (Grossi et al., Proceedings of algorithms in bioinformatics - 15th international workshop, WABI 2015, Atlanta, GA, Sept 10–12, 2015. Lecture notes in computer science, vol 9289, pp 203–216. Springer, Berlin, 2015; Gusfield, Algorithms on strings, trees, and sequences - computer science and computational biology. Cambridge University Press, Cambridge, 1997).
This chapter was written when Rahman was on a sabbatical leave from BUET.
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References
Aho, A.V., Corasick, M.J.: Efficient string matching: an aid to bibliographic search. Commun. ACM 18(6), 333–340 (1975)
Athar, T., Barton, C., Bland, W., Gao, J., Iliopoulos, C.S., Liu, C., Pissis, S.P.: Fast circular dictionary-matching algorithm. Math. Struct. Comput. Sci. FirstView, 1–14 (2015)
Barton, C., Iliopoulos, C.S., Pissis, S.P.: Circular string matching revisited. In: Proceedings of the Fourteenth Italian Conference on Theoretical Computer Science (ICTCS 2013), pp. 200–205 (2013)
Barton, C., Iliopoulos, C.S., Pissis, S.P.: Fast algorithms for approximate circular string matching. Algorithms Mol. Biol. 9(9) (2014)
Barton, C., Iliopoulos, C.S., Kundu, R., Pissis, S.P., Retha, A., Vayani, F.: Accurate and efficient methods to improve multiple circular sequence alignment. In: Bampis, E. (ed.) Experimental Algorithms. Lecture Notes in Computer Science, vol. 9125, pp. 247–258. Springer International Publishing, Cham (2015)
Barton, C., Iliopoulos, C.S., Pissis, S.P.: Average-case optimal approximate circular string matching. In: Dediu, A.H., Formenti, E., Martín-Vide, C., Truthe, B. (eds.) Language and Automata Theory and Applications. Lecture Notes in Computer Science, vol. 8977, pp. 85–96. Springer, Berlin/Heidelberg (2015)
Belazzougui, D.: Succinct dictionary matching with no slowdown. In: Proceedings of the 21st Annual Conference on Combinatorial Pattern Matching, CPM’10, pp. 88–100. Springer, Berlin/Heidelberg (2010)
Chan, H.L., Hon, W.K., Lam, T.W., Sadakane, K.: Compressed indexes for dynamic text collections. ACM Trans. Algorithms 3(2) (2007)
Chen, K.-H., Huang, G.-S., Lee, R.C.-T.: Bit-parallel algorithms for exact circular string matching. Comput. J 57(5), 731–743 (2014)
Crochemore, M., Hancart, C., Lecroq, T.: Algorithms on Strings. Cambridge University Press, New York (2007)
Dori, S., Landau, G.M.: Construction of Aho Corasick automaton in linear time for integer alphabets. Inf. Process. Lett. 98(2), 66–72 (2006)
Ferragina, P., Manzini, G.: Opportunistic data structures with applications. In: Proceedings of the FOCS, pp. 390–398. IEEE Computer Society, Los Alamitos, CA (2000)
Fischer, J.: Inducing the LCP-array. In: Dehne, F., Iacono, J., Sack, J.R. (eds.) Algorithms and Data Structures. Lecture Notes in Computer Science, vol. 6844, pp. 374–385. Springer, Berlin/Heidelberg (2011)
Fischer, J., Heun, V.: Space-efficient preprocessing schemes for range minimum queries on static arrays. SIAM J. Comput. 40(2), 465–492 (2011)
Fredriksson, K., Grabowski, S.: Average-optimal string matching. J. Discrete Algorithms 7(4), 579–594 (2009)
Frousios, K., Iliopoulos, C.S., Mouchard, L., Pissis, S.P., Tischler, G.: REAL: an efficient REad ALigner for next generation sequencing reads. In: Proceedings of the First ACM International Conference on Bioinformatics and Computational Biology, BCB ’10, pp. 154–159. ACM, New York (2010)
Grossi, R., Iliopoulos, C.S., Mercas, R., Pisanti, N., Pissis, S.P., Retha, A., Vayani, F.: Circular sequence comparison with q-grams. In: Pop, M., Touzet, H. (eds.) Proceedings of Algorithms in Bioinformatics - 15th International Workshop, WABI 2015, Atlanta, GA, Sept 10–12, 2015. Lecture Notes in Computer Science, vol. 9289, pp. 203–216. Springer, Berlin (2015)
Gusfield, D.: Algorithms on Strings, Trees, and Sequences - Computer Science and Computational Biology. Cambridge University Press, Cambridge (1997)
Hon, W.K., Ku, T.H., Shah, R., Thankachan, S.V., Vitter, J.S.: Faster compressed dictionary matching. In: Proceedings of the 17th International Conference on String Processing and Information Retrieval, SPIRE’10, pp. 191–200. Springer, Berlin/Heidelberg (2010)
Hon, W.K., Lu, C.H., Shah, R., Thankachan, S.V.: Succinct indexes for circular patterns. In: Proceedings of the 22nd International Conference on Algorithms and Computation, ISAAC’11, pp. 673–682. Springer, Berlin/Heidelberg (2011)
Hon, W.K., Ku, T.H., Shah, R., Thankachan, S.: Space-efficient construction algorithm for the circular suffix tree. In: Fischer, J., Sanders, P. (eds.) Combinatorial Pattern Matching. Lecture Notes in Computer Science, vol. 7922, pp. 142–152. Springer, Berlin/Heidelberg (2013)
Huynh, T.N.D., Hon, W.K., Lam, T.W., Sung, W.K.: Approximate string matching using compressed suffix arrays. Theor. Comput. Sci. 352(1–3), 240–249 (2006)
Ilie, L., Navarro, G., Tinta, L.: The longest common extension problem revisited and applications to approximate string searching. J. Discrete Algorithms 8(4), 418–428 (2010)
Iliopoulos, C.S., Rahman, M.S.: Indexing circular patterns. In: Proceedings of the 2nd International Conference on Algorithms and Computation, WALCOM’08, pp. 46–57. Springer, Berlin/Heidelberg (2008)
Lothaire, M. (ed.): Applied Combinatorics on Words. Cambridge University Press, New York (2005)
Manber, U., Myers, E.W.: Suffix arrays: a new method for on-line string searches. SIAM J. Comput. 22(5), 935–948 (1993)
Nong, G., Zhang, S., Chan, W.H.: Linear suffix array construction by almost pure induced-sorting. In: Proceedings of the 2009 Data Compression Conference, DCC ’09, pp. 193–202. IEEE Computer Society, Washington, DC (2009)
Palazón-González, V., Marzal, A.: Speeding up the cyclic edit distance using LAESA with early abandon. Pattern Recogn. Lett. (2015). http://dx.doi.org/10.1016/j.patrec.2015.04.013
Rivest, R.L.: Partial-match retrieval algorithms. SIAM J. Comput. 5(1), 19–50 (1976). doi:10.1137/0205003
Schnattinger, T., Ohlebusch, E., Gog, S.: Bidirectional search in a string with wavelet trees and bidirectional matching statistics. Inf. Comput. 213, 13–22 (2012)
Ukkonen, E.: On-line construction of suffix trees. Algorithmica 14(3), 249–260 (1995)
Uliel, S., Fliess, A., Unger, R.: Naturally occurring circular permutations in proteins. Protein Eng. 14(8), 533–542 (2001)
Weiner, P.: Linear pattern matching algorithms. In: Proceedings of the 14th Annual Symposium on Switching and Automata Theory (SWAT 1973), pp. 1–11. IEEE Computer Society, Washington, DC (1973)
Wu, S., Manber, U.: Fast text searching: allowing errors. Commun. ACM 35(10), 83–91 (1992)
Acknowledgements
Part of this research has been supported by an INSPIRE Strategic Partnership Award, administered by the British Council, Bangladesh, for the project titled “Advances in Algorithms for Next Generation Biological Sequences.”
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Iliopoulos, C.S., Pissis, S.P., Rahman, M.S. (2017). Searching and Indexing Circular Patterns. In: Elloumi, M. (eds) Algorithms for Next-Generation Sequencing Data. Springer, Cham. https://doi.org/10.1007/978-3-319-59826-0_3
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