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The Distance Geometry Problem

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Euclidean Distance Geometry

Abstract

The Distance Geometry Problem (DGP) is an inverse problem. The corresponding “direct problem” is to compute some pairwise distances of a given set of points. Whereas the direct problem is obviously trivial (just carry out the computation), the inverse problem is generally difficult to solve.

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Notes

  1. 1.

    See the metric axiom (Axiom 3) in Appendix A.6.

  2. 2.

    The symbol \(\sum \limits _{k\le K}\) stands for \(\sum \limits _{k=1}^K\).

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Correspondence to Leo Liberti .

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Liberti, L., Lavor, C. (2017). The Distance Geometry Problem. In: Euclidean Distance Geometry. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-60792-4_2

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