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Decomposing recurrent states of the abelian sandpile model

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Publication:510551
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DOI10.1016/j.endm.2016.09.018zbMath1356.05107OpenAlexW2537850624MaRDI QIDQ510551

Thomas Selig, Mark Dukes

Publication date: 13 February 2017

Full work available at URL: https://doi.org/10.1016/j.endm.2016.09.018


zbMATH Keywords

graph decompositionsandpile groupabelian sandpile modellevel polynomialrecurrent states


Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Structural characterization of families of graphs (05C75)


Related Items (1)

Decomposing recurrent states of the abelian sandpile model



Cites Work

  • Decomposing recurrent states of the abelian sandpile model
  • Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a cyclic lemma
  • Chip firing and the Tutte polynomial
  • On the sandpile group of dual graphs
  • Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a \(q,t\)-Narayana polynomial
  • Statistics on parallelogram polyominoes and a \(q,t\)-analogue of the Narayana numbers
  • Self-organized critical state of sandpile automaton models
  • A Contribution to the Theory of Chromatic Polynomials
  • Unnamed Item


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