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Optimal suffix tree construction with large alphabets

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1 Author(s)
M. Farach ; Dept. of Comput. Sci., Rutgers Univ., Piscataway, NJ, USA

The suffix tree of a string is the fundamental data structure of combinatorial pattern matching. Weiner (1973), who introduced the data structure, gave an O(n)-time algorithm for building the suffix tree of an n-character string drawn from a constant size alphabet. In the comparison model, there is a trivial Ω(n log n)-time lower bound based on sorting, and Weiner's algorithm matches this bound trivially. For integer alphabets, a substantial gap remains between the known upper and lower bounds, and closing this gap is the main open question in the construction of suffix trees. There is no super-linear lower bound, and the fastest known algorithm was the O(n log n) time comparison based algorithm. We settle this open problem by closing the gap: we build suffix trees in linear time for integer alphabet

Published in:

Foundations of Computer Science, 1997. Proceedings., 38th Annual Symposium on

Date of Conference:

20-22 Oct 1997