Abstract
This article presents our divide-and-conquer optimal algorithms for lightweight suffix array construction for constant alphabets. These algorithms can efficiently compute the suffix array of a size-n text T with an alphabet Σ using O(nlogΣ) time and (ℓ(T) + |Σ|⌈logn ⌉ + O(1))-bit working space (excluding the space for the output suffix array), where Σ is an integer or constant alphabet, and ℓ(T) is the length of T measured in bits. For popular applications in practice with n ≤ 232 and |Σ| ≤ 256, these results translate into O(n) time and a total space of 5n + O(1) bytes, which are the optimal time and space complexities for lightweight suffix array construction.
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Nong, G., Zhang, S. (2007). Optimal Lightweight Construction of Suffix Arrays for Constant Alphabets. In: Dehne, F., Sack, JR., Zeh, N. (eds) Algorithms and Data Structures. WADS 2007. Lecture Notes in Computer Science, vol 4619. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73951-7_53
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DOI: https://doi.org/10.1007/978-3-540-73951-7_53
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