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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 411, Pages 119–124 (Mi znsl5635)  
This article is cited in 1 scientific paper (total in 1 paper)

Sandpile groups and the join of graphs

I. A. Krepkiy

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (179 kB) Citations (1)
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Abstract: We introduce the procedure of joining two graphs by identifying an arbitrary pair of their vertices. The main result is that the sandpile group of the join of several finite graphs is the direct product of the sandpile groups of the components. Some consequences are derived.
Key words and phrases: sandpile groups, join of graphs, Smith normal form.
Received: 12.02.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 2, Pages 184–186
DOI: https://doi.org/10.1007/s10958-013-1650-9
Bibliographic databases:
Document Type: Article
UDC: 519.175.2
Language: Russian
Citation: I. A. Krepkiy, “Sandpile groups and the join of graphs”, Representation theory, dynamical systems, combinatorial methods. Part XXII, Zap. Nauchn. Sem. POMI, 411, POMI, St. Petersburg, 2013, 119–124; J. Math. Sci. (N. Y.), 196:2 (2014), 184–186
Citation in format AMSBIB
\Bibitem{Kre13}
\by I.~A.~Krepkiy
\paper Sandpile groups and the join of graphs
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 411
\pages 119--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5635}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048272}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 2
\pages 184--186
\crossref{https://doi.org/10.1007/s10958-013-1650-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897086833}
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  • https://www.mathnet.ru/eng/znsl/v411/p119
    • 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
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