The sandpile group of polygon rings and twisted polygon rings

DOI10.1007/s00373-022-02514-xOpenAlexW3098805720MaRDI QIDQ2155989

Bojan Mohar, Hai-Yan Chen

Publication date: 15 July 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08702

zbMATH Keywords

sandpile grouppolygon ringtwisted polygon ring

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

Combinatorial aspects of sandpile models on wheel and Fan graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Abelian networks. III: The critical group
• Critical groups of covering, voltage and signed graphs
• Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields
• On the critical group of the missing Moore graph
• Sandpile groups and spanning trees of directed line graphs
• On the sandpile group of the cone of a graph
• Critical groups of graphs with dihedral actions. II.
• The critical groups of a family of graphs and elliptic curves over finite fields
• On the sandpile group of the square cycle \(C^{2}_{n}\)
• On the sandpile group of regular trees
• Arithmetical graphs
• Chip-firing and the critical group of a graph
• On the critical group of the \(n\)-cube
• 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
• The critical group of the Kneser graph on 2-subsets of an \(n\)-element set
• The critical group of a line graph
• The sandpile group of a family of nearly complete graphs
• The sandpile groups of chain-cyclic graphs
• The sandpile group of a polygon flower
• The Smith and critical groups of Paley graphs
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Critical groups of iterated cones
• Critical groups of graphs with dihedral actions
• On the sandpile group of \(P_{4}\times C_n\)
• Cyclic Critical Groups of Graphs
• The critical group of $K_m\vee P_n$ and $P_m\vee P_n$
• Algebraic Potential Theory on Graphs
• The lattice of integral flows and the lattice of integral cuts on a finite graph
• Critical groups for complete multipartite graphs and Cartesian products of complete graphs
• Self-organized critical state of sandpile automaton models
• On the Jacobian Group for Möbius Ladder and Prism Graphs