Applying the Kirchhoff Relations in Proofs of Theorems on Graph Operations that Do Not Affect the Structure of the Sandpile Groups of Graphs
- Authors: Krepkiy I.A.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 224, No 2 (2017)
- Pages: 278-285
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239554
- DOI: https://doi.org/10.1007/s10958-017-3414-4
- ID: 239554
Cite item
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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