Parallel Algorithms for the Longest Common Subsequence Problem

  • Authors:
  • K. Nandan Babu;Sanjeev Saxena

  • Affiliations:
  • -;-

  • Venue:
  • HIPC '97 Proceedings of the Fourth International Conference on High-Performance Computing
  • Year:
  • 1997

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Abstract

The longest common subsequence problem is to finda substring that is common to two given strings and isatleast as long as any other such string. If m and nare the lengths of the two strings (m \le n), we obtainO(log m) time parallel algorithm with mn processorsand an O(log2n) time optimal parallel algorithm. Serial complexity on decision tree model is \theta(mn).