Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 2, Pages 21–25 (Mi vmumm855)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Non-existence of distinct codirected locally minimal trees on a plane

K. I. Oblakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (303 kB) Citations (2)
Abstract: Locally minimal graphs on a plane are considered. A simpler proof is given for the uniqueness of a globally minimal spanning tree on a plane in the general case. The proof presented here uses only local minimality of trees and is of independent interest.
Key words: locally minimal tree.
Received: 23.05.2008
Bibliographic databases:
Document Type: Article
UDC: 519.176
Language: Russian
Citation: K. I. Oblakov, “Non-existence of distinct codirected locally minimal trees on a plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 21–25
Citation in format AMSBIB
\Bibitem{Obl09}
\by K.~I.~Oblakov
\paper Non-existence of distinct codirected locally minimal trees on a plane
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 2
\pages 21--25
\mathnet{http://mi.mathnet.ru/vmumm855}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543169}
\zmath{https://zbmath.org/?q=an:1304.05028}
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  • https://www.mathnet.ru/eng/vmumm/y2009/i2/p21
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :40
     
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