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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 290–303 (Mi timm988)  
This article is cited in 5 scientific papers (total in 5 papers)

The finiteness of the number of symmetrical 2-extensions of the $d$-dimensional lattice and similar graphs

V. I. Trofimovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin
Full-text PDF (217 kB) Citations (5)
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Abstract: We prove that there are only finitely many symmetrical $2$-extensions of a locally finite graph whenever the automorphism group of the graph has an abelian subgroup of finite index (this case is of interest for certain applications). Some refinements and generalizations of this result are also given.
Keywords: graph, group of automorphisms, symmetrical extension of graphs.
Received: 20.07.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 285, Issue 1, Pages S169–S182
DOI: https://doi.org/10.1134/S0081543814050198
Bibliographic databases:
Document Type: Article
UDC: 512.54+519.17+548.1
Language: Russian
Citation: V. I. Trofimov, “The finiteness of the number of symmetrical 2-extensions of the $d$-dimensional lattice and similar graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 290–303; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S169–S182
Citation in format AMSBIB
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\paper The finiteness of the number of symmetrical 2-extensions of the $d$-dimensional lattice and similar graphs
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\vol 19
\issue 3
\pages 290--303
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S169--S182
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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