Distance geometry problems arise whenever one needs to infer the shape of a configuration of points (relative positions) from the distances between them, such as in biology, sensor networks, surveying, navigation, cartography, and physics.
The Erdős Distance Problem ... -dimensional Euclidean space so that the pairs of points make the smallest possible distance set? It was written by Julia Garibaldi ...
In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the ...
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Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to ...
In discrete geometry, the Erdős distinct distances problem states that every set of points in the plane has a nearly-linear number of distinct distances.
Nov 3, 2022 · The distance geometry problem is that of characterization and study of sets of points based only on given values of the distances between ...
Proximity problems is a class of problems in computational geometry which involve estimation of distances between geometric objects.
May 11, 2016 · In this contribution we consider the unassigned distance geometry problem (uDGP) where the vertices associated with a given distance are unknown ...
Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined ...
In geometric measure theory, Falconer's conjecture, named after Kenneth Falconer, is an unsolved problem concerning the sets of Euclidean distances between ...