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In-Place Suffix Sorting

  • Gianni Franceschini
  • S. Muthukrishnan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4596)

Abstract

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 Open image in new window time and Open image in new window extra space, for any \(v\in [1,\sqrt{n}]\) for strings from a general alphabet. We improve this and present the first known in-place suffix sorting algorithm. Our algorithm takes Open image in new window time using O(1) workspace and is optimal in the worst case for the general alphabet.

Keywords

Binary Search Lexicographical Order Recursive Call Sorting Algorithm Scanning Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Gianni Franceschini
    • 1
  • S. Muthukrishnan
    • 2
  1. 1.Department of Computer Science, University of Pisa 
  2. 2.Google Inc., NY 

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