Simplicial dollar game

DOI10.37236/9821zbMath1491.05133arXiv1908.09350OpenAlexW4280565273MaRDI QIDQ2144322

David Perkinson, Jesse Kim

Publication date: 13 June 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09350

zbMATH Keywords

Riemann-Roch theoremchip-firing game

Mathematics Subject Classification ID

Games involving graphs (91A43) Combinatorial aspects of simplicial complexes (05E45) Games on graphs (graph-theoretic aspects) (05C57)

Uses Software

• SageMath

Cites Work

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• Chip-firing and the critical group of a graph
• The height of minimal Hilbert bases
• Chip-firing games, potential theory on graphs, and spanning trees
• Critical groups of simplicial complexes
• Cuts and flows of cell complexes
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Chip Firing on General Invertible Matrices
• Primer for the algebraic geometry of sandpiles
• Simplicial and cellular trees
• Introduction to Toric Varieties. (AM-131)
• Enumerating linear systems on graphs

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