Space Efficient Linear Time Construction of Suffix Arrays

  • Pang Ko
  • Srinivas Aluru
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2676)


We present a linear time algorithm to sort all the suffixes of a string over a large alphabet of integers. The sorted order of suffixes of a string is also called suffix array, a data structure introduced by Manber and Myers that has numerous applications in pattern matching, string processing, and computational biology. Though the suffix tree of a string can be constructed in linear time and the sorted order of suffixes derived from it, a direct algorithm for suffix sorting is of great interest due to the space requirements of suffix trees. Our result improves upon the best known direct algorithm for suffix sorting, which takes O(n log n) time. We also show how to construct suffix trees in linear time from our suffix sorting result. Apart from being simple and applicable for alphabets not necessarily of fixed size, this method of constructing suffix trees is more space efficient.


Linear Time Linear Time Algorithm Suffix Tree Direct Algorithm Suffix Array 
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 2003

Authors and Affiliations

  • Pang Ko
    • 2
    • 3
  • Srinivas Aluru
    • 2
    • 3
    • 1
  1. 1.Dept. of Electrical and Computer EngineeringUSA
  2. 2.Laurence H. Baker Center for Bioinformatics and Biological StatisticsAmes
  3. 3.Iowa State UniversityAmes

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