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math.MG2026
Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces
Henry Adams, Semeon A. Bogatyi, Florian Frick +5
For a finite-dimensional normed space and a subset with finite Hausdorff distance from , we prove that the Gromov--Hausdorff distance between and is at least the…
math.MG2026
Minimal Fillings of Finite Metric Spaces and Convex Polyhedra
A. O. Ivanov, A. A. Tuzhilin
Problem of minimal parametric generalized fillings of finite metric space (a version of optimal connection problem) leads to construction of a convex multidimensional polyhedra…