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Gromov-Hausdorff Distance Between Segment and Circle
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We calculate the Gromov--Hausdorff distance between a line segment and a circle in the Euclidean plane. To do that, we introduced a few new notions like round spaces and nonlinearity degree of a metric space.
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Cited by 1 Pith paper
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Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces
The paper gives a Gromov–Hausdorff lower bound via the relative Jung constant (sound) but its stronger Jung-constant version relies on an impossible normalization step.
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