Geodesic
The additivity criterion for finite metric spaces and minimal fillings
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2012), pp. 8-11

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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. 
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     author = {O. V. Rubleva},
     title = {The additivity criterion for finite metric spaces and minimal fillings},
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O. V. Rubleva. The additivity criterion for finite metric spaces and minimal fillings. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2012), pp. 8-11. http://geodesic.mathdoc.fr/item/VMUMM_2012_2_a1/