Abstract
In the present paper we obtain new main metric invariants of finite metric spaces. These invariants can be used for classification of finite metric spaces and their identification.
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Sosov, E. N. “Relative N-Radius of a Bounded Subset of a Metric Space,” Uchen. Zap. Kazan. Univ. 153, No. 4, 28–36 (2011).
Burago, D. Yu., Burago, Yu. D., Ivanov, S. V. Course of Metric Geometry (Institute for Computer Research, Moscow-Izhevsk, 2004) [in Russian].
Sosov, E. N. “The Relative Chebyshev Centers of Finite Sets in Geodesic Spaces,” Russian Mathematics (Iz. VUZ) 52, No. 4, 59–64 (2008).
Rao, T. S. S. R. K. “Chebyshev Centres and Centrable Sets,” Proc. Amer. Math. Soc. 130, No. 9, 2593–2598 (2002).
Bandyopadhyay, P., Dutta S. “Weighted Chebyshev Centres and Intersection Properties of Balls in Banach Spaces,” in Function Spaces (Edwadswille, IL, 2002), pp. 43–58, Contemp. Math. 328 (Amer. Math. Soc., Providence, RI, 2003).
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Original Russian Text © E.N. Sosov, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 5, pp. 45–48.
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Sosov, E.N. Main metric invariants of finite metric spaces. Russ Math. 59, 38–40 (2015). https://doi.org/10.3103/S1066369X15050059
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DOI: https://doi.org/10.3103/S1066369X15050059