4 citations · 13 across the 13 of their papers we have counts for
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The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces
Alexander O. Ivanov, Alexey A. Tuzhilin
In the present paper we investigate the Gromov--Hausdorff distances between a bounded metric space and so called simplex, i.e., a metric space all whose non-zero distances are…
Solution to Generalized Borsuk Problem in Terms of the Gromov-Hausdorff Distances to Simplexes
Alexander Ivanov, Alexei Tuzhilin
In the present paper the following Generalized Borsuk Problem is studied: Can a given bounded metric space be partitioned into a given number (probably an infinite one) of…
Gromov--Hausdorff Distance to Simplexes
D. S. Grigor'ev, A. O. Ivanov, A. A. Tuzhilin
Geometric characteristics of metric spaces that appear in formulas of the Gromov--Hausdorff distances from these spaces to so-called simplexes, i.e., to the metric spaces, all whos…
Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space
Alexander O. Ivanov, Alexey A. Tuzhilin
We have constructed a realization of rectilinear geodesic (in the sense of~\cite{Memoli2018}), lying in Gromov-Hausdorff space, as a shortest geodesic w.r.t. the Hausdorff distance…