%0 Journal Article
%T Analytic Deformations of Minimal Networks
%A Alexander Ivanov
%A Alexey Tuzhilin
%J Mathematics
%D 2015
%I arXiv
%X A behavior of extreme networks under deformations of their boundary sets is investigated. It is shown that analyticity of a deformation of boundary set guarantees preservation of the networks types for minimal spanning trees, minimal fillings and so-called stable shortest trees in the Euclidean space.
%U http://arxiv.org/abs/1506.07140v1