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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 1, Pages 101–116
DOI: https://doi.org/10.1070/SM1995v082n01ABEH003554 (Mi sm899) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Classification of closed minimal networks on tetrahedra

I. V. Ptitsyna
English version PDF (1079 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1995v082n01ABEH003554
Abstract: A complete description is obtained of the closed locally minimal networks on quasiregular tetrahedra. It is shown that on quasiregular tetrahedra the sets of closed locally minimal networks have the same structure as on flat 2-dimensional tori.
The paper describes the set of all quasiregular tetrahedra on which there exist closed locally minimal networks of a specified type. In the other direction, it describes the set of all closed minimal networks on a given quasiregular tetrahedron.
Received: 20.07.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 5, Pages 119–138
Bibliographic databases:
UDC: 514.77
MSC: Primary 05C35; Secondary 52B05, 57M15
Language: English
Original paper language: Russian
Citation: I. V. Ptitsyna, “Classification of closed minimal networks on tetrahedra”, Mat. Sb., 185:5 (1994), 119–138; Russian Acad. Sci. Sb. Math., 82:1 (1995), 101–116
Citation in format AMSBIB
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\by I.~V.~Ptitsyna
\paper Classification of closed minimal networks on tetrahedra
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 5
\pages 119--138
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1275974}
\zmath{https://zbmath.org/?q=an:0841.05046}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 1
\pages 101--116
\crossref{https://doi.org/10.1070/SM1995v082n01ABEH003554}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RR54800005}
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  • https://www.mathnet.ru/eng/sm/v185/i5/p119
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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