On the sandpile model of modified wheels. II

DOI10.1515/math-2020-0094zbMath1475.05084OpenAlexW3119540226MaRDI QIDQ2053535

Zahid Raza, Mohammed S. Bataineh, Faiz Ullah, Mohammed M. M. Jaradat

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0094

zbMATH Keywords

critical configurationstable configurationmodified wheelsdollar gameabelian sandpile group

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Group actions on combinatorial structures (05E18)

Related Items (1)

Combinatorial aspects of sandpile models on wheel and Fan graphs

Cites Work

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• On the sandpile group of the square cycle \(C^{2}_{n}\)
• On the sandpile group of regular trees
• The critical group of \(K_m \times P_n\)
• On the sandpile group of \(3\times n\) twisted bracelets
• The sandpile group of a tree
• Balancing vectors in the max norm
• Chip-firing and the critical group of a graph
• Sandpile group on the graph \(\mathcal D_n\) of the dihedral group
• On the sandpile group of dual graphs
• The critical group of a threshold graph
• On the sandpile model of modified wheels. I
• On the sandpile group of \(P_{4}\times C_n\)
• On the sandpile group of the graph \(K_{3}\times C_n\)
• Critical groups for complete multipartite graphs and Cartesian products of complete graphs
• Self-organized critical state of sandpile automaton models
• ON THE SANDPILE GROUP OF A FAMILY OF GRAPHS
• The critical group from a cryptographic perspective

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