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Mathematics of the USSR-Sbornik, 1975, Volume 27, Issue 4, Pages 463–480
DOI: https://doi.org/10.1070/SM1975v027n04ABEH002524 (Mi sm3722) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Free products of networks and free symmetrizers of graphs

D. V. Znoiko
English version PDF (1275 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1975v027n04ABEH002524
Abstract: Connected locally finite vertex-symmetric graphs, also called networks, are the subject of the article. The operation of a free product, preserving the vertex symmetry of graphs, is introduced. Properties of free products are studied, and a connection with free products of groups is established. A class of networks, called free symmetrizers of graphs, in some respects analogues of free products, is introduced. Their properties and a relation to free products and graphs of groups are studied.
Figures: 3.
Bibliography: 12 titles.
Received: 21.01.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1975, Volume 98(140), Number 4(12), Pages 518–537
Bibliographic databases:
UDC: 518
MSC: Primary 05C25; Secondary 20E30
Language: English
Original paper language: Russian
Citation: D. V. Znoiko, “Free products of networks and free symmetrizers of graphs”, Mat. Sb. (N.S.), 98(140):4(12) (1975), 518–537; Math. USSR-Sb., 27:4 (1975), 463–480
Citation in format AMSBIB
\Bibitem{Zno75}
\by D.~V.~Znoiko
\paper Free products of networks and free symmetrizers of graphs
\jour Mat. Sb. (N.S.)
\yr 1975
\vol 98(140)
\issue 4(12)
\pages 518--537
\mathnet{http://mi.mathnet.ru/sm3722}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=543787}
\zmath{https://zbmath.org/?q=an:0318.05104}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 27
\issue 4
\pages 463--480
\crossref{https://doi.org/10.1070/SM1975v027n04ABEH002524}
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  • https://www.mathnet.ru/eng/sm/v140/i4/p518
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:274
    Russian version PDF:103
    English version PDF:18
    References:53
     
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