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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 2, Pages 8–11 (Mi vmumm471)
This article is cited in 6 papers

Mathematics

The additivity criterion for finite metric spaces and minimal fillings

O. V. Rubleva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A new additivity criterion of a finite metric space is obtained in the paper. The criterion is based on properties of minimal trees in Gromov's case.

Key words: metric spaces, additivity spaces, minimal fillings in Gromov's case, Steiner minimal trees.

UDC: 514.774.8+515.124.4+519.17

Received: 16.09.2010


 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:2, 52–54

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