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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 448, Pages 165–176 (Mi znsl6310)  
Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs

I. A. Krepkiy

St. Petersburg State University, St. Petersburg, Russia
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Abstract: New proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs are suggested. The proofs are based on the isomorphism between the sandpile group and the Kirchhoff group of a graph.
Key words and phrases: sandpile group, Kirchhoff group, graph operations, dual graphs.
Received: 10.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 2, Pages 278–285
DOI: https://doi.org/10.1007/s10958-017-3414-4
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: I. A. Krepkiy, “Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 165–176; J. Math. Sci. (N. Y.), 224:2 (2017), 278–285
Citation in format AMSBIB
\Bibitem{Kre16}
\by I.~A.~Krepkiy
\paper Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 165--176
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3576257}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 278--285
\crossref{https://doi.org/10.1007/s10958-017-3414-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019716313}
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  • https://www.mathnet.ru/eng/znsl/v448/p165
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