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arXiv · 1506.07140

Analytic Deformations of Minimal Networks

Alexander Ivanov·Alexey Tuzhilin
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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.

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Alexander Ivanov, Alexey Tuzhilin. 2015-06-23. Analytic Deformations of Minimal Networks. https://arxiv.org/abs/1506.07140

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