The Functions that Do not Change Types of Minimal Fillings / S. Yu. Lipatov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 6. P. 42-45 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 267-269].

It is proved that a function changing distances in finite metric spaces and preserving the types of their minimal fillings has the form f(x)=kx+b. It is sufficient to assume that the types of fillings are preserved for spaces consisting of at most five points.

Key words: minimal fillings, finite metric spaces.