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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 5, Pages 159–180 (Mi fpm1761)  
This article is cited in 2 scientific papers (total in 2 papers)

Analytic deformations of minimal networks

A. O. Ivanov, A. A. Tuzhilin

Moscow State University, Moscow, Russia
Full-text PDF (274 kB) Citations (2)
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Abstract: The behavior of extreme networks under deformations of their boundary sets is investigated. It is shown that analyticity of a deformation of the boundary set guarantees preservation of the network type for minimal spanning trees, minimal fillings, and so-called stable shortest trees in the Euclidean space.
Funding agency Grant number
Russian Foundation for Basic Research
Ministry of Education and Science of the Russian Federation
The work was partially supported by RFBR and RF President Project of Russian Scientific Schools support.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 5, Pages 621–635
DOI: https://doi.org/10.1007/s10958-020-04899-7
Document Type: Article
UDC: 514.76+517.972+519.176
Language: Russian
Citation: A. O. Ivanov, A. A. Tuzhilin, “Analytic deformations of minimal networks”, Fundam. Prikl. Mat., 21:5 (2016), 159–180; J. Math. Sci., 248:5 (2020), 621–635
Citation in format AMSBIB
\Bibitem{IvaTuz16}
\by A.~O.~Ivanov, A.~A.~Tuzhilin
\paper Analytic deformations of minimal networks
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 5
\pages 159--180
\mathnet{http://mi.mathnet.ru/fpm1761}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 248
\issue 5
\pages 621--635
\crossref{https://doi.org/10.1007/s10958-020-04899-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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