Embeddings to Rectilinear Space and Gromov-Hausdorff Distances
Metric Geometry
2024-12-30 v1
Abstract
We show that the problem whether a given finite metric space can be embedded into -dimensional rectilinear space can be reformulated in terms of the Gromov--Hausdorff distance between some special finite metric spaces.
Cite
@article{arxiv.2412.19202,
title = {Embeddings to Rectilinear Space and Gromov-Hausdorff Distances},
author = {A. O. Ivanov and A. A. Tuzhilin},
journal= {arXiv preprint arXiv:2412.19202},
year = {2024}
}
Comments
13 pages, 0 figures. arXiv admin note: text overlap with arXiv:2012.00756