TY - GEN

T1 - In-place suffix sorting

AU - Franceschini, G.

AU - Muthukrishnan, S.

PY - 2007

Y1 - 2007

N2 - Given string T = T[1,... ,n], the suffix sorting problem is to lexicographically sort the suffixes T[i,... ,n] for all i. This problem is central to the construction of suffix arrays and trees with many applications in string processing, computational biology and compression. A bottleneck in these applications is the amount of workspace needed to perform suffix sorting beyond the space needed to store the input as well as the output. In particular, emphasis is even on the constant c in the O(n) = cn space algorithms known for this problem, Currently the best previous result [5] takes O (nv + n log n) time and O (n/ √v) extra space, for any v ∈6 [1, √n] for strings from a general alphabet. We improve this and present the first known in-place suffix sorting algorithm. Our algorithm takes O (n log n) time using O(1) workspace and is optimal in the worst case for the general alphabet.

AB - Given string T = T[1,... ,n], the suffix sorting problem is to lexicographically sort the suffixes T[i,... ,n] for all i. This problem is central to the construction of suffix arrays and trees with many applications in string processing, computational biology and compression. A bottleneck in these applications is the amount of workspace needed to perform suffix sorting beyond the space needed to store the input as well as the output. In particular, emphasis is even on the constant c in the O(n) = cn space algorithms known for this problem, Currently the best previous result [5] takes O (nv + n log n) time and O (n/ √v) extra space, for any v ∈6 [1, √n] for strings from a general alphabet. We improve this and present the first known in-place suffix sorting algorithm. Our algorithm takes O (n log n) time using O(1) workspace and is optimal in the worst case for the general alphabet.

UR - http://www.scopus.com/inward/record.url?scp=38149140840&partnerID=8YFLogxK

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U2 - 10.1007/978-3-540-73420-8_47

DO - 10.1007/978-3-540-73420-8_47

M3 - Conference contribution

AN - SCOPUS:38149140840

SN - 3540734198

SN - 9783540734192

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 533

EP - 545

BT - Automata, Languages and Programming - 34th International Colloquium, ICALP 2007, Proceedings

PB - Springer Verlag

T2 - 34th International Colloquium on Automata, Languages and Programming, ICALP 2007

Y2 - 9 July 2007 through 13 July 2007

ER -