Ricci Curvature of a Weighted Tree / O. V. Rubleva. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 6. P. 52-54 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 278-279].

A formula for the coarse Ricci curvature of a weighed tree with a random walk on vertex set is obtained. A criterion of restoration of a binary tree topology from its Ricci curvature matrix is proved as a corollary.

Key words: weighed trees, Ricci curvature, coarse Ricci curvature, transportation distance, random walk on metric spaces.