Classes of lattices induced by chip firing (and sandpile) dynamics.

DOI10.1016/S0195-6698(03)00063-5zbMath1046.91014arXivmath/0201131OpenAlexW2088952751MaRDI QIDQ1404997

Clémence Magnien

Publication date: 25 August 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201131

zbMATH Keywords

abelian sandpile modeldiscrete dynamical modelmutating graph

Mathematics Subject Classification ID

Games involving graphs (91A43) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (4)

Chip-firing game and a partial Tutte polynomial for Eulerian digraphs ⋮ Elimination schemes and lattices ⋮ Cleaning a network with brushes ⋮ Feedback arc set problem and NP-hardness of minimum recurrent configuration problem of chip-firing game on directed graphs

Cites Work

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• Chip-firing games on directed graphs
• Chip-firing games on graphs
• Chip-firing and the critical group of a graph
• On the sandpile group of dual graphs
• The lattice structure of the set of domino tilings of a polygon
• Algebraic Potential Theory on Graphs
• Chip-Firing Games on Mutating Graphs
• Algebraic aspects of Abelian sandpile models
• The lattice structure of chip firing games and related models

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