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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 316–320 (Mi timm773)  
This article is cited in 5 scientific papers (total in 5 papers)

Symmetrical extensions of graphs and some other topics in graph theory related with group theory

V. I. Trofimovab

a Institute of Mathematics and Mechanics Ural Branch RAS
b Ural Federal University
Full-text PDF (118 kB) Citations (5)
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Abstract: We discuss some concepts concerning graphs (mainly concepts of symmetrical extensions of graphs by graphs and of k-contractibility, k a positive integer, for graphs), which are related with the group theory and seem to be of interest.
Keywords: vertex-symmetric graph, symmetrical extension, k-contractibility.
Received: 07.05.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 279, Issue 1, Pages 107–112
DOI: https://doi.org/10.1134/S0081543812090088
Bibliographic databases:
Document Type: Article
UDC: 512.54+519.17
Language: English
Citation: V. I. Trofimov, “Symmetrical extensions of graphs and some other topics in graph theory related with group theory”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 316–320; Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 107–112
Citation in format AMSBIB
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\paper Symmetrical extensions of graphs and some other topics in graph theory related with group theory
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 17
\issue 4
\pages 316--320
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\issue , suppl. 1
\pages 107--112
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Linking options:
  • https://www.mathnet.ru/eng/timm773
  • https://www.mathnet.ru/eng/timm/v17/i4/p316
    • This publication is cited in the following 5 articles:
    1. E. A. Konovalchik, K. V. Kostousov, “Simmetricheskie $2$-rasshireniya $2$-mernoi reshetki. II”, Tr. IMM UrO RAN, 23, no. 4, 2017, 192–211  mathnet  crossref  elib
    2. E. A. Konovalchik, K. V. Kostousov, “Simmetricheskie 2-rasshireniya 2-mernoi reshetki. I”, Tr. IMM UrO RAN, 22, no. 1, 2016, 159–179  mathnet  mathscinet  elib
    3. V. I. Trofimov, “The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph”, Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 168–173  mathnet  crossref  mathscinet  isi  elib
    4. E. A. Neganova, V. I. Trofimov, “Symmetrical extensions of graphs”, Izv. Math., 78:4 (2014), 809–835  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. V. I. Trofimov, “The finiteness of the number of symmetrical 2-extensions of the $d$-dimensional lattice and similar graphs”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S169–S182  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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