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Settling the intractability of multiple alignment.

Isaac Elias1

  • 1Department of Numerical Analysis and Computer Science, KTH, Stockholm, Sweden. isaac@nada.kth.se

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|October 14, 2006
PubMed
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This study proves the NP-hardness for key multiple sequence alignment variations, including SP-score, star, and tree alignment. These findings are crucial for understanding the computational complexity of biological sequence analysis.

Area of Science:

  • Computational Biology
  • Bioinformatics
  • Algorithm Analysis

Background:

  • Multiple sequence alignment is fundamental in computational biology.
  • Existing research often cites NP-hardness but lacks proofs for basic variations.
  • The computational complexity of common alignment problems remains incompletely understood.

Purpose of the Study:

  • To establish the NP-hardness for prevalent multiple sequence alignment variations.
  • To address the lack of hardness proofs for elementary alignment problems.
  • To provide a comprehensive understanding of the computational limits in sequence alignment.

Main Methods:

  • Demonstrating NP-hardness for specific alignment problems.
  • Utilizing reductions from known NP-hard problems.

Related Experiment Videos

  • Analyzing variations including SP-score, star, and tree alignment.
  • Main Results:

    • NP-hardness is proven for MULTIPLE ALIGNMENT WITH SP-SCORE, STAR ALIGNMENT, and TREE ALIGNMENT across various metrics and alphabets.
    • NP-hardness is also established for CONSENSUS PATTERNS and SUBSTRING PARSIMONY.
    • The study settles the NP-hardness for previously unproven elementary variations.

    Conclusions:

    • The most common variations of multiple sequence alignment are computationally intractable (NP-hard).
    • These results have significant implications for the development of efficient algorithms and heuristics in bioinformatics.
    • Further research may focus on approximation algorithms or specialized cases where alignment is tractable.