Applying the Kirchhoff Relations in Proofs of Theorems on Graph Operations that Do Not Affect the Structure of the Sandpile Groups of Graphs


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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.

About the authors

I. A. Krepkiy

St.Petersburg State University

Author for correspondence.
Email: feb418@gmail.com
Russian Federation, St.Petersburg

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