Assigned and unassigned distance geometry: applications to biological molecules and nanostructures

Simon J. L. Billinge (), Phillip M. Duxbury (), Douglas S. Gonçalves (), Carlile Lavor () and Antonio Mucherino ()
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Simon J. L. Billinge: Columbia University
Phillip M. Duxbury: Michigan State University
Douglas S. Gonçalves: Universidade Federal de Santa Catarina
Carlile Lavor: University of Campinas
Antonio Mucherino: Université de Rennes 1

4OR, 2016, vol. 14, issue 4, No 2, 337-376

Abstract: Abstract Considering geometry based on the concept of distance, the results found by Menger and Blumenthal originated a body of knowledge called distance geometry. This survey covers some recent developments for assigned and unassigned distance geometry and focuses on two main applications: determination of three-dimensional conformations of biological molecules and nanostructures.

Keywords: Distance geometry; Graph rigidity; Molecular conformations; Nanostructures; Discretization orders; 51Kxx; 82D80; 92E10 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10288-016-0314-2

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