Analytic Deformations of Minimal Networks
Differential Geometry
2015-06-24 v1 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1506.07140,
title = {Analytic Deformations of Minimal Networks},
author = {Alexander Ivanov and Alexey Tuzhilin},
journal= {arXiv preprint arXiv:1506.07140},
year = {2015}
}
Comments
20 pages, 2 figures