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Gromov-Hausdorff Distance Between Segment and Circle

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arxiv 2101.05762 v1 pith:LEAXXQW2 submitted 2021-01-14 math.MG

classification math.MG
keywords circledistancesegmentcalculatedegreeeuclideangromov--hausdorffgromov-hausdorff
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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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces

    math.MG 2026-07 reject novelty 7.0 of 10

    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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