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2018•Unpublished venueRequires access

Optimal In-Place Suffix Sorting

Zhize Li, Jian Li, Hongwei Huo

Open publisher page 4 citations

Abstract

Suffix array is a fundamental data structure for many applications that involve string searching and data compression. We obtain the first linear time inplace suffix array construction algorithm which is optimal both in time and space for read-only integer alphabets. Our algorithm settles the open problem posed by Franceschini and Muthukrishnan [1]. The open problem asked to design in-place algorithms in o(n log n) time and ultimately, in O(n) time for integer alphabets with |Σ| ≤ n. Our result is in fact slightly stronger since we allow |Σ| = O(n). Besides, we extend it to obtain an optimal O(n log n) time in-place suffix sorting algorithm for read-only general alphabets (i.e., only comparisons are allowed).

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What this paper is about

Suffix array is a fundamental data structure for many applications that involve string searching and data compression. We obtain the first linear time inplace suffix array construction algorithm which is optimal both in time and space for read-only integer alphabets. Our algorithm settles the open problem posed by Franceschini and Muthukrishnan [1]. The open problem asked to design in-place algorithms in o(n log n) time and ultimately, in O(n) time for integer alphabets with |Σ| ≤ n. Our result is in fact slightly stronger since we allow |Σ| = O(n). Besides, we extend it to obtain an optimal O(n log n) time in-place suffix sorting algorithm for read-only general alphabets (i.e., only comparisons are allowed).

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Available abstract

Suffix array is a fundamental data structure for many applications that involve string searching and data compression. We obtain the first linear time inplace suffix array construction algorithm which is optimal both in time and space for read-only integer alphabets. Our algorithm settles the open problem posed by Franceschini and Muthukrishnan [1]. The open problem asked to design in-place algorithms in o(n log n) time and ultimately, in O(n) time for integer alphabets with |Σ| ≤ n. Our result is in fact slightly stronger since we allow |Σ| = O(n). Besides, we extend it to obtain an optimal O(n log n) time in-place suffix sorting algorithm for read-only general alphabets (i.e., only comparisons are allowed).

Key concepts: Suffix array, Compressed suffix array, Generalized suffix tree, Suffix, Sorting, Suffix tree, String (physics), Integer (computer science)

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