On the sandpile group of \(3\times n\) twisted bracelets

DOI10.1016/j.laa.2008.05.021zbMath1144.05311OpenAlexW2167977133MaRDI QIDQ947653

Jin Shen, Yao-Ping Hou

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.021

zbMATH Keywords

sandpile groupgraph Laplacianbracelet graphsthe Smith normal form

Mathematics Subject Classification ID

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

Related Items (7)

The sandpile group of a thick cycle graph ⋮ On the sandpile group of Eulerian series-parallel graphs ⋮ Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields ⋮ On graph parameters guaranteeing fast sandpile diffusion ⋮ On the sandpile model of modified wheels. II ⋮ ON THE SANDPILE GROUP OF A FAMILY OF GRAPHS ⋮ Random Walks, Electric Networks and The Transience Class problem of Sandpiles

Cites Work

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• Self-organized criticality
• CHROMATIC POLYNOMIALS FOR TWISTED BRACELETS
• Critical groups for complete multipartite graphs and Cartesian products of complete graphs
• Algebraic aspects of Abelian sandpile models
• The critical group from a cryptographic perspective

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