Abstract
Suffix trees and suffix arrays are two of the most widely used data structures for text indexing. Each uses linear space and can be constructed in linear time [3,5,6,7]. However, when it comes to answering queries, the prior does so in O(mlog|Σ|) time, where m is the query size, |Σ| is the alphabet size, and the latter does so in O(m+logn), where n is the text size. We propose a novel way of combining the two into, what we call, a suffix tray. The space and construction time remain linear and the query time improves to O(m+log|Σ|).
We also consider the online version of indexing, where the indexing structure continues to update the text online and queries are answered in tandem. Here we suggest a suffix trist, a cross between a suffix tree and a suffix list. It supports queries in O(m+log|Σ|). The space and text update time of a suffix trist are the same as for the suffix tree or the suffix list.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Amir, A., Kopelowitz, T., Lewenstein, M., Lewenstein, N.: Towards Real-Time Suffix Tree Construction. In: Proc. of Symp. on String Processing and Information Retrieval (SPIRE), pp. 67–78 (2005)
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 2nd edn. MIT Press, Cambridge (2001)
Farach, M.: Optimal suffix tree construction with large alphabets. In: Proc. 38th IEEE Symposium on Foundations of Computer Science, pp. 137–143 (1997)
Grossi, R., Italiano, G.F.: Efficient techniques for maintaining multidimensional keys in linked data structures. In: Wiedermann, J., Van Emde Boas, P., Nielsen, M. (eds.) ICALP 1999. LNCS, vol. 1644, pp. 372–381. Springer, Heidelberg (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.) ICALP 2003. LNCS, vol. 2719, pp. 943–955. Springer, Heidelberg (2003)
Kim, D.K., Sim, J.S., Park, H., Park, K.: Linear-time construction of suffix arrays. In: Baeza-Yates, R., Chávez, E., Crochemore, M. (eds.) CPM 2003. LNCS, vol. 2676, pp. 186–199. Springer, Heidelberg (2003)
Ko, P., Aluru, S.: Space efficient linear time construction of suffix arrays. In: Baeza-Yates, R., Chávez, E., Crochemore, M. (eds.) CPM 2003. LNCS, vol. 2676, pp. 200–210. Springer, Heidelberg (2003)
Manber, U., Myers, E.W.: Suffix arrays: A new method for on-line string searches. SIAM J. on Computing 22(5), 935–948 (1993)
McCreight, E.M.: A space-economical suffix tree construction algorithm. J. of the ACM 23, 262–272 (1976)
Ukkonen, E.: On-line construction of suffix trees. Algorithmica 14, 249–260 (1995)
Weiner, P.: Linear pattern matching algorithm. In: Proc. 14th IEEE Symposium on Switching and Automata Theory, pp. 1–11 (1973)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cole, R., Kopelowitz, T., Lewenstein, M. (2006). Suffix Trays and Suffix Trists: Structures for Faster Text Indexing. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds) Automata, Languages and Programming. ICALP 2006. Lecture Notes in Computer Science, vol 4051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11786986_32
Download citation
DOI: https://doi.org/10.1007/11786986_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35904-3
Online ISBN: 978-3-540-35905-0
eBook Packages: Computer ScienceComputer Science (R0)