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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 6, Pages 227–252 (Mi fpm1861)  

Bifurcations of binary types of Steiner minimal networks in the plane

E. I. Stepanova

Lomonosov Moscow State University, Moscow, Russia
References:
Abstract: This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6399.2018.1
Russian Foundation for Basic Research 16-01-00378_a
This work was supported by the program “Leading Scientific Schools” (grant No. NSh-6399.2018.1, Agreement No. 075-02-2018-867) and the Russian Foundation for Basic Research (grant No. 16-01-00378-a).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 259, Issue 5, Pages 730–747
DOI: https://doi.org/10.1007/s10958-021-05658-y
Document Type: Article
UDC: 514.77+519.176+515.165.7
Language: Russian
Citation: E. I. Stepanova, “Bifurcations of binary types of Steiner minimal networks in the plane”, Fundam. Prikl. Mat., 22:6 (2019), 227–252; J. Math. Sci., 259:5 (2021), 730–747
Citation in format AMSBIB
\Bibitem{Ste19}
\by E.~I.~Stepanova
\paper Bifurcations of binary types of Steiner minimal networks in the plane
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 6
\pages 227--252
\mathnet{http://mi.mathnet.ru/fpm1861}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 259
\issue 5
\pages 730--747
\crossref{https://doi.org/10.1007/s10958-021-05658-y}
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    Фундаментальная и прикладная математика
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