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The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spacesстатья
- Авторы: Ivanov A.O., Tuzhilin A.A.
- Журнал: ArXiv e-prints: arXiv:1907.03828
- Год издания: 2019
- Аннотация: In the present paper we investigate the Gromov--Hausdorff distances between a bounded metric space X and so called simplex, i.e., a metric space all whose non-zero distances are the same. In the case when the simplex's cardinality does not exceed the cardinality of X, a new formula for this distance is obtained. The latter permits to derive an exact formula for the distance between a simplex and an ultrametric space.
- Добавил в систему: Тужилин Алексей Августинович