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Open Research Areas in Distance Geometry

In: Open Problems in Optimization and Data Analysis

Author

Listed:
  • Leo Liberti

    (CNRS LIX, Ecole Polytechnique)

  • Carlile Lavor

    (University of Campinas)

Abstract

Distance geometry is based on the inverse problem that asks to find the positions of points, in a Euclidean space of given dimension, that are compatible with a given set of distances. We briefly introduce the field, and discuss some open and promising research areas.

Suggested Citation

  • Leo Liberti & Carlile Lavor, 2018. "Open Research Areas in Distance Geometry," Springer Optimization and Its Applications, in: Panos M. Pardalos & Athanasios Migdalas (ed.), Open Problems in Optimization and Data Analysis, pages 183-223, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-99142-9_11
    DOI: 10.1007/978-3-319-99142-9_11
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    Citations

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    Cited by:

    1. Phil Duxbury & Carlile Lavor & Leo Liberti & Luiz Leduino Salles-Neto, 2022. "Unassigned distance geometry and molecular conformation problems," Journal of Global Optimization, Springer, vol. 83(1), pages 73-82, May.
    2. Simon J. L. Billinge & Phillip M. Duxbury & Douglas S. Gonçalves & Carlile Lavor & Antonio Mucherino, 2018. "Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures," Annals of Operations Research, Springer, vol. 271(1), pages 161-203, December.

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