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Related Experiment Videos

Computational complexity of multiple sequence alignment with SP-score.

W Just1

  • 1Department of Mathematics, College of Arts & Sciences, Morton Hall 321, Ohio University, Athens, OH 45701, USA. just@math.ohiou.edu

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|December 19, 2001
PubMed
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The multiple sequence alignment problem using the SP-score is NP-hard for most common scoring matrices. This computational complexity holds even with restricted sequence shifts and no internal gaps.

Area of Science:

  • Computational Biology
  • Bioinformatics
  • Algorithm Analysis

Background:

  • Multiple sequence alignment is fundamental in bioinformatics for understanding protein and nucleic acid evolution.
  • The computational complexity of alignment algorithms impacts their scalability for large biological datasets.
  • Scoring matrices guide sequence alignment by quantifying residue similarities.

Purpose of the Study:

  • To determine the computational complexity of the multiple sequence alignment problem with the SP-score.
  • To investigate the impact of scoring matrices on alignment problem hardness.
  • To assess the problem's complexity under constrained alignment conditions.

Main Methods:

  • Complexity theory analysis
  • NP-hardness and MAX-SNP-hardness proofs

Related Experiment Videos

  • Examination of scoring matrix properties
  • Main Results:

    • The multiple alignment problem with SP-score is NP-hard for a broad class of scoring matrices.
    • The problem remains NP-hard even when only sequence shifts are permitted and internal gaps are disallowed.
    • A specific scoring matrix M(0) renders the multiple alignment problem MAX-SNP-hard, irrespective of internal gap allowance.

    Conclusions:

    • The SP-score based multiple sequence alignment is computationally intractable for most practical scoring matrices.
    • Algorithmic approaches for this problem face fundamental limitations, even with simplified alignment models.
    • The identified MAX-SNP-hardness suggests significant challenges in finding exact or approximate solutions.