Time-space trade-offs for longest common extensions

  • Authors:
  • Philip Bille;Inge Li Gørtz;Benjamin Sach;Hjalte Wedel Vildhøj

  • Affiliations:
  • Technical University of Denmark, DTU Compute, Denmark;Technical University of Denmark, DTU Compute, Denmark;University of Warwick, Department of Computer Science, United Kingdom;Technical University of Denmark, DTU Compute, Denmark

  • Venue:
  • Journal of Discrete Algorithms
  • Year:
  • 2014

Quantified Score

Hi-index 0.00

Visualization

Abstract

We revisit the longest common extension (LCE) problem, that is, preprocess a string T into a compact data structure that supports fast LCE queries. An LCE query takes a pair (i,j) of indices in T and returns the length of the longest common prefix of the suffixes of T starting at positions i and j. We study the time-space trade-offs for the problem, that is, the space used for the data structure vs. the worst-case time for answering an LCE query. Let n be the length of T. Given a parameter @t, 1=