On the sandpile group of the square cycle \(C^{2}_{n}\)

DOI10.1016/j.laa.2006.02.022zbMath1108.05062OpenAlexW2027744479MaRDI QIDQ855535

Pingge Chen, Ching-Wah Woo, Yao-Ping Hou

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.02.022

zbMATH Keywords

critical groupSmith normal formFibonacci numbergraph Laplacian

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

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Cites Work

• Arithmetical graphs
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• On the sandpile group of dual graphs
• The number of spanning trees in circulant graphs
• The critical group of a threshold graph
• Spécialisation du foncteur de Picard
• Self-organized criticality
• Counting Trees in a Certain Class of Graphs
• Critical groups for complete multipartite graphs and Cartesian products of complete graphs
• Algebraic aspects of Abelian sandpile models
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