Embeddings to Rectilinear Space and Gromov-Hausdorff Distances
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929648676372480 |
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| author | Ivanov, A. O. Tuzhilin, A. A. |
| author_facet | Ivanov, A. O. Tuzhilin, A. A. |
| contents | We show that the problem whether a given finite metric space can be embedded into $m$-dimensional rectilinear space can be reformulated in terms of the Gromov--Hausdorff distance between some special finite metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19202 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Embeddings to Rectilinear Space and Gromov-Hausdorff Distances Ivanov, A. O. Tuzhilin, A. A. Metric Geometry 51F99 We show that the problem whether a given finite metric space can be embedded into $m$-dimensional rectilinear space can be reformulated in terms of the Gromov--Hausdorff distance between some special finite metric spaces. |
| title | Embeddings to Rectilinear Space and Gromov-Hausdorff Distances |
| topic | Metric Geometry 51F99 |
| url | https://arxiv.org/abs/2412.19202 |