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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 303–308 (Mi timm1221)  
This article is cited in 1 scientific paper (total in 1 paper)

The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph

V. I. Trofimovab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: We prove that there are only finitely many symmetrical extensions of a locally finite tree by a finite graph. Moreover, we prove that there are only finitely many pairwise nonequivalent realizations of symmetrical extensions of a locally finite tree by a finite graph.
Keywords: tree, symmetrical extension by a finite graph.
Received: 01.06.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 168–173
DOI: https://doi.org/10.1134/S0081543816090170
Bibliographic databases:
Document Type: Article
UDC: 512.54+519.17
Language: Russian
Citation: V. I. Trofimov, “The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 303–308; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 168–173
Citation in format AMSBIB
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\by V.~I.~Trofimov
\paper The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 303--308
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 295
\issue , suppl. 1
\pages 168--173
\crossref{https://doi.org/10.1134/S0081543816090170}
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  • https://www.mathnet.ru/eng/timm/v21/i3/p303
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :44
    References:38
    First page:11
     
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