Parallel Biological Sequence Comparison Using Prefix Computations

  • Authors:
  • Srinivas Aluru;Natsuhiko Futamura;Kishan Mehrotra

  • Affiliations:
  • -;-;-

  • Venue:
  • IPPS '99/SPDP '99 Proceedings of the 13th International Symposium on Parallel Processing and the 10th Symposium on Parallel and Distributed Processing
  • Year:
  • 1999

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Abstract

We present practical parallel algorithms using prefix computations for various problems that arise in pairwise comparison of biological sequences. We consider both constant and affine gap penalty functions, full-sequence and subsequence matching, and space-saving algorithms. The best known sequential algorithms solve these problems in $O(mn)$ time and $O(m+n)$ space, where $m$ and $n$ are the lengths of the two sequences. All the algorithms presented in this paper are time optimal with respect to the best known sequential algorithms and can use $O\left(\frac{n}{\log n}\right)$ processors where $n$ is the length of the larger sequence. While optimal parallel algorithms for many of these problems are known, we use a simple framework and demonstrate how these problems can be solved systematically using repeated parallel prefix operations. We also present a space-saving algorithm that uses $O\left(m+\frac{n}{p}\right)$ space and runs in optimal time where $p$ is the number of the processors used.