4 citations · 13 across the 15 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.MG2024
Embeddings to Rectilinear Space and Gromov-Hausdorff Distances
A. O. Ivanov, A. A. Tuzhilin
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 b…
math.MG2024
Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes
A. O. Ivanov, E. S. Lychagina, A. A. Tuzhilin
In the present paper a distinguishability of bounded metric spaces by the set of the Gromov--Hausdorff distances to so-called simplexes (metric spaces with unique non-zero distance…
math.MG2024
Gromov-Hausdorff Geometry of Metric Trees
A. O. Ivanov, I. N. Mikhailov, A. A. Tuzhilin
In this paper, we study metric trees, without any finiteness restrictions. For subsets of such trees, a condition that guarantees that the Hausdorff and Gromov--Hausdorff distances…