Open research areas in distance geometry

Leo Liberti (1) , Carlile Lavor (2)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 IMECC - Instituto de Matemática, Estatística e Computação Científica [Brésil]

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.

Domaines: Recherche opérationnelle [math.OC]

Leo Liberti, Carlile Lavor. Open research areas in distance geometry. Open problems in optimization and data analysis, 2018, Springer Optimization and Its Applications, 978-3-319-99141-2. ⟨10.1007/978-3-319-99142-9_11⟩. ⟨hal-02105079⟩