Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Tome 448 (2016), pp. 165-176
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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.
@article{ZNSL_2016_448_a11,
author = {I. A. Krepkiy},
title = {Applying {Kirchhoff} relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {165--176},
publisher = {mathdoc},
volume = {448},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a11/}
}
TY - JOUR AU - I. A. Krepkiy TI - Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs JO - Zapiski Nauchnykh Seminarov POMI PY - 2016 SP - 165 EP - 176 VL - 448 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a11/ LA - ru ID - ZNSL_2016_448_a11 ER -
%0 Journal Article %A I. A. Krepkiy %T Applying Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs %J Zapiski Nauchnykh Seminarov POMI %D 2016 %P 165-176 %V 448 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a11/ %G ru %F ZNSL_2016_448_a11
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. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Tome 448 (2016), pp. 165-176. http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a11/