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Hardness of flip-cut problems from optical mapping

V Dancík1, S Hannenhalli, S Muthurkrishnan

  • 1Department of Mathematics, University of Southern California, Los Angeles 90089-1113., USA. dancik@hto.usc.edu

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|July 1, 1997
PubMed
Summary

Optical mapping, a new restriction map technology, faces computational challenges. The Exclusive Binary Flip Cut (EBFC) problem and its variants are proven NP-complete, indicating no efficient polynomial-time solutions exist.

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genomics

Background:

  • Optical mapping is an emerging technology for generating DNA restriction maps.
  • Computational challenges exist in aligning partial maps and determining molecular orientation.

Purpose of the Study:

  • To analyze the computational complexity of the Exclusive Binary Flip Cut (EBFC) problem.
  • To determine efficient solutions for optical mapping data analysis.

Main Methods:

  • Formalization of the Exclusive Binary Flip Cut (EBFC) problem.
  • Complexity analysis using NP-completeness proofs.

Main Results:

  • The EBFC problem is proven to be NP-complete.
  • Several variants of the EBFC problem are also NP-complete.

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  • Efficient polynomial-time solutions are unlikely unless P=NP.
  • Conclusions:

    • The computational problems associated with optical mapping are complex.
    • The findings suggest limitations for efficient algorithms in constructing consensus restriction maps from optical mapping data.