Additivity criterion of a finite metric space and minimal fillings / O. V. Rubleva. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 2. P. 8-11 [Moscow Univ. Math. Bulletin. Vol. 67, N 2, 2012.].

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.