English

Gromov-Hausdorff Distance Between Segment and Circle

Metric Geometry 2021-01-15 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2101.05762,
  title  = {Gromov-Hausdorff Distance Between Segment and Circle},
  author = {Yibo Ji and Alexey A. Tuzhilin},
  journal= {arXiv preprint arXiv:2101.05762},
  year   = {2021}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-23T22:10:35.900Z