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Approximate realizations

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Euclidean Distance Geometry
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Abstract

In this chapter, we propose some methods for realizing large graphs. These methods do not explicitly rely on the adjacency structure of the graph, and are mostly based on linear algebra.

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Notes

  1. 1.

    Some texts define distance matrices to contain the squared distances \(\Vert x_i-x_j\Vert ^2\) —we would call this a squared distance matrix instead.

  2. 2.

    Establishing the worst-case complexity class of EDMCP is another great open challenge in DG.

  3. 3.

    http://evolution.genetics.washington.edu/phylip/doc/gendist.html.

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Correspondence to Leo Liberti .

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Liberti, L., Lavor, C. (2017). Approximate realizations. In: Euclidean Distance Geometry. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-60792-4_8

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