Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 2, Pages 48–51 (Mi vmumm137)  
This article is cited in 3 scientific papers (total in 3 papers)

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Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane

E. I. Stepanova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (316 kB) Citations (3)
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Abstract: Bifurcation diagrams for topologies of Steiner minimal trees and minimal fillings for nonconvex four-pointed boundaries are constructed. Using this issue, the four-pointed Steiner subratio of the Euclidean plane is recieved. All configurations for which it is obtained are found.
Key words: Steiner minimal tree, minimal filling, Steiner subratio.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00664a
Ministry of Education and Science of the Russian Federation НШ-581.2014.1
Received: 20.05.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 2, Pages 79–81
DOI: https://doi.org/10.3103/S0027132216020078
Bibliographic databases:
Document Type: Article
UDC: 514.77+519.176+515.165.7
Language: Russian
Citation: E. I. Stepanova, “Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2, 48–51; Moscow University Mathematics Bulletin, 71:2 (2016), 79–81
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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