Abstract
The availability of numerical data grows from one day to the other in an extraordinary way. This is the case for DNA sequences produced by new technologies of high-throughput Next Generation Sequencing (NGS). Hence, it is possible to sequence several genomes of organisms and a project (http://www.1000genomes.org) now provide about 2500 individual human genomes (sequences of more than three billion characters (A, C, G, T).
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In this exposition all logarithms are in base 2 unless stated otherwise.
References
Aho, A.V., Corasick, M.J.: Efficient string matching: an aid to bibliographic search. Commun. ACM 18(6), 333–340 (1975)
Alatabbi, A., Barton, C., Iliopoulos, C.S., Mouchard, L.: Querying highly similar structured sequences via binary encoding and word level operations. In: Iliadis, L.S., Maglogiannis, I., Papadopoulos, H., Karatzas, K., Sioutas, S. (eds.) Proceedings of the International Workshop on Artificial Intelligence Applications and Innovations, AIAI 2012, Part II. IFIP Advances in Information and Communication Technology, vol. 382, pp. 584–592. Springer, Cham (2012)
Apostolico, A.: The myriad virtues of subword trees. In: Apostolico, A., Galil, Z. (eds.) Combinatorial Algorithms on Words. NATO Advance Science Institute Series, vol. 12, pp. 85–96. Springer, Berlin (1985)
Arroyuelo, D., Navarro, G., Sadakane, K.: Reducing the space requirement of LZ-index. In: Lewenstein, M., Valiente, G. (eds.) Proceedings of the 17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006, Barcelona. Lecture Notes in Computer Science, vol. 4009, pp. 318–329. Springer, Berlin (2006)
Bell, T., Cleary, J.G., Witten, I.H.: Text Compression. Prentice Hall, Upper Saddle River (1990)
Blumer, A., Blumer, J., Haussler, D., Ehrenfeucht, A., Chen, M.-T., Seiferas, J.: The smallest automation recognizing the subwords of a text. Theor. Comput. Sci. 40, 31–55 (1985)
Blumer, A., Blumer, J., Haussler, D., McConnell, R., Ehrenfeucht, A.: Complete inverted files for efficient text retrieval and analysis. J. ACM 34(3), 578–595 (1987)
Burrows, M., Wheeler, D.J.: A block-sorting lossless data compression algorithm. Technical Report 124, Digital SRC Research (1994)
Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley, Hoboken (2012)
Crochemore, M., Lecroq, T.: Trie. In: Liu, L., Özsu, M.T. (eds.) Encyclopedia of Database Systems, pp. 3179–3182. Springer, Heidelberg (2009)
Crochemore, M., Rytter, W.: Text Algorithms. Oxford University Press, Oxford (1994)
Crochemore, M., Vérin, R.: On compact directed acyclic word graphs. In: Mycielski, J., Rozenberg, G., Salomaa, A. (eds.) Structures in Logic and Computer Science. A Selection of Essays in Honor of Andrzej Ehrenfeucht. Lecture Notes in Computer Science, vol. 1261, pp. 192–211. Springer, Berlin (1997)
Do, H.H., Jansson, J., Sadakane, K., Sung, W.-K.: Fast relative Lempel-Ziv self-index for similar sequences. In: Snoeyink, J., Lu, P., Su, K., Wang, L. (eds.) Proceedings of the Joint International Conference on Frontiers in Algorithmics and Algorithmic Aspects in Information and Management, FAW-AAIM 2012, Beijing. Lecture Notes in Computer Science, vol. 7285, pp. 291–302. Springer, Berlin (2012)
Farach, M.: Optimal suffix tree construction with large alphabets. In: Proceedings of the 38th Annual Symposium on Foundations of Computer Science, FOCS 1997, Miami Beach, FL, pp. 137–143 (1997)
Farach-Colton, M., Ferragina, P., Muthukrishnan, S.: On the sorting-complexity of suffix tree construction. J. ACM 47(6), 987–1011 (2000)
Ferragina, P., Manzini, G.: Opportunistic data structures with applications. In: 41st Annual Symposium on Foundations of Computer Science, FOCS 2000, Redondo Beach, CA, pp. 390–398 (2000)
Ferragina, P., Manzini, G.: An experimental study of an opportunistic index. In: Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2001, Washington, DC, pp. 269–278. Society for Industrial and Applied Mathematics, Philadelphia (2001)
Ferragina, P., Manzini, G.: Indexing compressed text. J. ACM 52(4), 552–581 (2005)
Ferragina, P., Manzini, G., Veli, M., Navarro, G.: An alphabet-friendly fm-index. In: Apostolico, A., Melucci, M. (eds.) Proceedings of the 11th International Conference on String Processing and Information Retrieval, SPIRE 2004, Padova. Lecture Notes in Computer Science, vol. 3246, pp. 150–160. Springer, Berlin (2004)
Ferragina, P., Manzini, G., Mäkinen, V., Navarro, G.: Compressed representations of sequences and full-text indexes. ACM Trans. Algorithms 3(2), 20 (2007)
Grossi, R., Vitter, J.S.: Compressed suffix arrays and suffix trees with applications to text indexing and string matching (extended abstract). In: Yao, F.F., Luks, E.M. (eds.) Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, STOC 2000, Portland, OR, pp. 397–406 (2000)
Grossi, R., Vitter, J.S.: Compressed suffix arrays and suffix trees with applications to text indexing and string matching. SIAM J. Comput. 35(2), 378–407 (2005)
Grossi, R., Gupta, A., Vitter, J.S.: High-order entropy-compressed text indexes. In: Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2003, Baltimore, MD, pp. 841–850 (2003)
Grossi, R., Gupta, A., Vitter, J.S.: When indexing equals compression: experiments with compressing suffix arrays and applications. In: Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2004, New Orleans, LA, pp. 636–645. Society for Industrial and Applied Mathematics, Philadelphia (2004)
Gusfield, D.: Algorithms on Strings, Trees and Sequences: Computer Science and Computational Biology. Cambridge University Press, Cambridge (1997)
Holub, J., Crochemore, M.: On the implementation of compact DAWG’s. In: Champarnaud, J.-M., Maurel, D. (eds.) Proceedings of the 7th International Conference on Implementation and Application of Automata, CIAA 2002, Revised Papers, Tours. Lecture Notes in Computer Science, vol. 2608, pp. 289–294. Springer, Berlin (2003)
Huang, S., Lam, T.W., Sung, W.-K., Tam, S.-L., Yiu, S.-M.: Indexing similar DNA sequences. In: Chen, B. (ed.) Proceedings of the 6th International Conference on Algorithmic Aspects in Information and Management, AAIM 2010, Weihai. Lecture Notes in Computer Science, vol. 6124, pp. 180–190. Springer, Berlin (2010)
Inenaga, S., Hoshino, H., Shinohara, A., Takeda, M., Arikawa, S., Mauri, G., Pavesi, G.: On-line construction of compact directed acyclic word graphs. In: Lewenstein, M., Valiente, G. (eds.) Proceedings of the 17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006, Barcelona. Lecture Notes in Computer Science, vol. 4009, pp. 169–180. Springer, Berlin (2006)
Itoh, H., Tanaka, H.: An efficient method for in memory construction of suffix arrays. In: Proceedings of String Processing and Information Retrieval Symposium, 1999 and International Workshop on Groupware, pp. 81–88 (1999)
Kärkkäinen, J., Sanders, P.: Simple linear work suffix array construction. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) Proceedings of the 30th International Colloquium on Automata, Languages and Programming, ICALP 2003, Eindhoven. Lecture Notes in Computer Science, vol. 2719, pp. 943–955. Springer, Berlin (2003)
Kärkkäinen, J., Ukkonen, E.: Lempel-Ziv parsing and sublinear-size index structures for string matching. In: Proceedings of the 3rd South American Workshop on String Processing (WSP). Citeseer (1996)
Kim, D.K., Sim, J.S., Park, H., Park, K.: Linear-time construction of suffix arrays. In: Baeza-Yates, R.A., Chávez, E., Crochemore, M. (eds.) Proceedings of the 14th Annual Symposium on Combinatorial Pattern Matching, CPM 2003, Morelia, Michocán. Lecture Notes in Computer Science, vol. 2676, pp. 186–199. Springer, Berlin (2003)
Ko, P., Aluru, S.: Space efficient linear time construction of suffix arrays. In: Baeza-Yates, R.A., Chávez, E., Crochemore, M. (eds.) Proceedings of the 14th Annual Symposium on Combinatorial Pattern Matching, CPM 2003, Morelia, Michocán. Lecture Notes in Computer Science, vol. 2676, pp. 200–210. Springer, Berlin (2003)
Kurtz, S.: Reducing the space requirement of suffix trees. Softw.-Pract. Exper. 29(13), 1149–1171 (1999)
Kuruppu, S., Puglisi, S.J., Zobel, J.: Relative Lempel-Ziv compression of genomes for large-scale storage and retrieval. In: Chávez, E., Lonardi, S. (eds.) Proceedings of the 17th International Symposium on String Processing and Information Retrieval, SPIRE 2010, Los Cabos. Lecture Notes in Computer Science, vol. 6393, pp. 201–206. Springer, Berlin (2010)
Larsson, N.J., Sadakane, K.: Faster suffix sorting. Theor. Comput. Sci. 387(3), 258–272 (2007)
Lempel, A., Ziv, J.: On the complexity of finite sequences. IEEE Trans. Inf. Theory 22(1), 75–81 (1976)
Mäkinen, V.: Compact suffix array-a space-efficient full-text index. Fundam. Inform. 56(1–2), 191–210 (2003)
Mäkinen, V., Navarro, G.: Compressed compact suffix arrays. In: Sahinalp, S.C., Muthukrishnan, S., Dogrusöz, U. (eds.) Proceedings of the 15th Annual Symposium on Combinatorial Pattern Matching, CPM 2004, Istanbul. Lecture Notes in Computer Science, vol. 3109, pp. 420–433. Springer, Berlin (2004)
Mäkinen, V., Navarro, G.: New search algorithms and time/space tradeoffs for succinct suffix arrays. Technical Report C-2004-20, University of Helsinki (2004)
Mäkinen, V., Navarro, G.: Succinct suffix arrays based on run-length encoding. Nordic J. Comput. 12(1), 40–66 (2005)
Manber, U., Myers, G.: Suffix arrays: a new method for on-line string searches. SIAM J. Comput. 22(5), 935–948 (1993)
Maniscalco, M.A., Puglisi, S.J.: Faster lightweight suffix array construction. In: Proceedings of the 17th Australasian Workshop on Combinatorial Algorithms, Ayers Rock, Uluru, pp. 16–29 (2006)
Manzini, G., Ferragina, P.: Engineering a lightweight suffix array construction algorithm. Algorithmica 40(1), 33–50 (2004)
McCreight, E.D.: A space-economical suffix tree construction algorithm. J. ACM 23(2), 262–272 (1976)
Morrison, D.: Patricia-practical algorithm to retrieve information coded in alphanumeric. J. ACM 15(4), 514–534 (1968)
Na, J.C., Park, H., Crochemore, M., Holub, J., Iliopoulos, C.S., Mouchard, L., Park, K.: Suffix tree of alignment: an efficient index for similar data. In: Lecroq, T., Mouchard, L. (eds.) Proceedings of the 24th International Workshop on Combinatorial Algorithms, IWOCA 2013, Rouen. Lecture Notes in Computer Science, vol. 8288. Springer, Berlin (2013)
Na, J.C., Park, H., Lee, S., Hong, M., Lecroq, T., Mouchard, L., Park, K.: Suffix array of alignment: a practical index for similar data. In: Oren Kurland, M.L., Porat, E. (eds.) Proceedings of the 20th International Symposium on String Processing and Information Retrieval, SPIRE 2013, Jerusalem. Lecture Notes in Computer Science, vol. 8214, pp. 243–254. Springer, Berlin (2013)
Navarro, G.: Indexing text using the Ziv-Lempel trie. In: Laender, A.H.F., Oliveira, A.L. (eds.) Proceedings of the 9th International Symposium on String Processing and Information Retrieval, SPIRE 2002, Lisbon. Lecture Notes in Computer Science, vol. 2476, pp. 325–336. Springer, Berlin (2002)
Navarro, G., Mäkinen, V.: Compressed full-text indexes. ACM Comput. Surv. 39(1), 2 (2007)
Nekrich, Y.: Orthogonal range searching in linear and almost-linear space. In: Dehne, F.K.H.A., Sack, J.-R., Zeh, N. (eds.) Proceedings of the 10th International Workshop on Algorithms and Data Structures, WADS 2007, Halifax. Lecture Notes in Computer Science, vol. 4619, pp. 15–26. Springer, Berlin (2007)
Procházka, P., Holub, J.: Compressing similar biological sequences using FM-index. In: Bilgin, A., Marcellin, M.W., Serra-Sagristà, J., Storer, J.A. (eds.) Data Compression Conference, DCC 2014, Snowbird, UT, 26–28 March 2014, pp. 312–321. IEEE, New York (2014)
Puglisi, S.J., Smyth, W.F., Turpin, A.H.: A taxonomy of suffix array construction algorithms. ACM Comput. Surv. 39(2), 4 (2007)
Rytter, W.: Application of Lempel-Ziv factorization to the approximation of grammar-based compression. Theor. Comput. Sci. 302(1), 211–222 (2003)
Sadakane, K.: New text indexing functionalities of the compressed suffix arrays. J. Algorithms 48(2), 294–313 (2003)
Schürmann, K.-B., Stoye, J.: An incomplex algorithm for fast suffix array construction. In: Demetrescu, C., Sedgewick, R., Tamassia, R. (eds.) Proceedings of the 7th Workshop on Algorithm Engineering and Experiments and the Second Workshop on Analytic Algorithmics and Combinatorics, ALENEX/ANALCO 2005, Vancouver, BC, pp. 77–85. SIAM, Philadelphia (2005)
Sirén, J., Välimäki, N., Mäkinen, V., Navarro, G.: Run-length compressed indexes are superior for highly repetitive sequence collections. In: Amir, A., Turpin, A., Moffat, A. (eds.) Proceedings of the 15th International Symposium on String Processing and Information Retrieval, SPIRE 2008, Melbourne. Lecture Notes in Computer Science, vol. 5280, pp. 164–175. Springer, Berlin (2008)
Ukkonen, E.: On-line construction of suffix trees. Algorithmica 14(3), 249–260 (1995)
Ukkonen, E., Wood, D.: Approximate string matching with suffix automata. Algorithmica 10(5), 353–364 (1993)
Weiner, P.: Linear pattern matching algorithms. In: Proceedings of the 14th Annual Symposium on Switching and Automata Theory, SWAT (FOCS), Iowa City, IA, vol. 1873, pp. 1–11. IEEE Computer Society, Washington (1973)
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Nsira, N.B., Lecroq, T., Elloumi, M. (2017). Algorithms for Indexing Highly Similar DNA Sequences. In: Elloumi, M. (eds) Algorithms for Next-Generation Sequencing Data. Springer, Cham. https://doi.org/10.1007/978-3-319-59826-0_1
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