Breaking a Time-and-Space Barrier in Constructing Full-Text Indices

Suffix trees and suffix arrays are the most prominent full-text indices, and their construction algorithms are well studied. In the literature, the fastest algorithm runs in O(n) time, while it requires O(n log n)-bit working space, where n denotes the length of the text. On the other hand, the most space-efficient algorithm requires O(n)-bit working space while it runs in O(n log n) time. It was open whether these indices can be constructed in both o(n log n) time and o(n log n)-bit working space. This paper breaks the above time-and-space barrier under the unit-cost word RAM. We give an algorithm for constructing the suffix array which takes O(n) time and O(n)-bit working space, for texts with constant-size alphabets. Note that both the time and the space bounds are optimal. For constructing the suffix tree, our algorithm

• Type: Conference
• Year: 2003
• Where: FOCS
• Authors: Wing-Kai Hon, Kunihiko Sadakane, Wing-Kin Sung
• Keywords: Algorithm, FOCS 2003, N)-bit Working Space, Suffix Array, Theoretical Computer Science