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Gromov–Hausdorff Distance to Simplexesстатья
- Авторы: Grigor'ev Dmitriy S., Ivanov Alexander O., Tuzhilin Alexey A.
- Журнал: ArXiv e-prints, arXiv:1906.09644
- Год издания: 2019
- Аннотация: 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 whose non-zero distances are the same are studied. The corresponding calculations essentially use geometry of partitions of these spaces. In the finite case, it gives the lengths of minimal spanning trees. A similar theory for compact metric spaces was worked out previously. In the present paper we generalize those results to any bounded metric space, and also, we simplify some proofs.
- Добавил в систему: Тужилин Алексей Августинович