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Parameterized complexity analysis in computational biology

H L Bodlaender1, R G Downey, M R Fellows

  • 1Computer Science Department, Utrecht University, The Netherlands.

Computer Applications in the Biosciences : CABIOS
|February 1, 1995
PubMed
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Parameterized computational complexity offers a better approach than NP-completeness for intractable problems in computational biology. This study shows the Longest Common Subsequence problem is W[t]-hard, impacting sequence alignment and consensus discovery.

Area of Science:

  • Computational Biology
  • Theoretical Computer Science

Background:

  • Many computational biology problems have parameters with small, critical value ranges, leading to apparent intractability.
  • NP-completeness may not be the most effective framework for analyzing these problems.

Purpose of the Study:

  • To advocate for parameterized computational complexity as a more suitable framework for analyzing intractable problems in computational biology.
  • To present a new complexity result for the Longest Common Subsequence (LCS) problem.

Main Methods:

  • Surveying the framework of parameterized computational complexity.
  • Analyzing the complexity of the LCS problem when parameterized by the number of strings and alphabet size.

Main Results:

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  • The Longest Common Subsequence problem is demonstrated to be hard for W[t] for all t, under parameterization by the number of strings and alphabet size.
  • This finding establishes lower bounds for sequence alignment and consensus discovery.
  • Conclusions:

    • Parameterized complexity is a crucial tool for understanding computational biology problems with small parameter values.
    • Further research into open problems in this area is warranted.