An almost-linear time and linear space algorithm for the longest common subsequence problem

  • Authors:
  • J. Y. Guo;F. K. Hwang

  • Affiliations:
  • Department of Applied Mathematics, National Chiaotung University, Hsinchu, Taiwan, ROC 30500;Department of Applied Mathematics, National Chiaotung University, Hsinchu, Taiwan, ROC 30500

  • Venue:
  • Information Processing Letters
  • Year:
  • 2005

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Abstract

There are two general approaches to the longest common subsequence problem. The dynamic programming approach takes quadratic time but linear space, while the nondynamic-programming approach takes less time but more space. We propose a new implementation of the latter approach which seems to get the best for both time and space for the DNA application.