A divide and conquer approach and a work-optimal parallel algorithm for the LIS problem

  • Authors:
  • Muhammad Rashed Alam;M. Sohel Rahman

  • Affiliations:
  • -;-

  • Venue:
  • Information Processing Letters
  • Year:
  • 2013

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Abstract

In this paper, we present a divide and conquer approach to solve the problem of computing a longest increasing subsequence. Our approach runs in O(nlogn) time and hence is optimal in the comparison model. In the sequel, we show how we can achieve a work-optimal parallel algorithm using our divide and conquer approach.