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Analytic Deformations of Minimal Networks

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.

preprint2015arXivOpen access
Alexander IvanovAlexey Tuzhilin
math.MGmath.DG
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Open access2 authors2 topics
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Alexander IvanovAlexey Tuzhilin

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