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The Discretizable Molecular Distance Geometry Problem seems Easier on Proteins

In: Distance Geometry

Author

Listed:
  • Leo Liberti

    (LIX, École Polytechnique)

  • Carlile Lavor

    (University of Campinas, Department of Applied Maths)

  • Antonio Mucherino

    (University of Rennes 1, IRISA)

Abstract

Distance geometry methods are used to turn a set of interatomic distances given by Nuclear Magnetic Resonance (NMR) experiments into a consistent molecular conformation. In a set of papers (see the survey [8]) we proposed a Branch-and-Prune (BP) algorithm for computing the set X of all incongruent embeddings of a given protein backbone. Although BP has a worst-case exponential running time in general, we always noticed a linear-like behaviour in computational experiments. In this chapter we provide a theoretical explanation to our observations. We show that the BP is fixed-parameter tractable on protein-like graphs and empirically show that the parameter is constant on a set of proteins from the Protein Data Bank.

Suggested Citation

  • Leo Liberti & Carlile Lavor & Antonio Mucherino, 2013. "The Discretizable Molecular Distance Geometry Problem seems Easier on Proteins," Springer Books, in: Antonio Mucherino & Carlile Lavor & Leo Liberti & Nelson Maculan (ed.), Distance Geometry, edition 127, chapter 0, pages 47-60, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4614-5128-0_3
    DOI: 10.1007/978-1-4614-5128-0_3
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