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Martin, Gregg Musiker, and Carlos E

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Generalized chip firing and critical groups of arithmetical structures on trees

math.CO · 2025-05-08 · accept · novelty 7.0

The number of invariant factors of critical groups of arithmetical structures on a tree is bounded by a leaf-and-matching statistic, all trees whose arithmetical structures give only cyclic critical groups are classified, and every finite abelian group is realized as such a critical group on some…

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  • Generalized chip firing and critical groups of arithmetical structures on trees math.CO · 2025-05-08 · accept · none · ref 8

    The number of invariant factors of critical groups of arithmetical structures on a tree is bounded by a leaf-and-matching statistic, all trees whose arithmetical structures give only cyclic critical groups are classified, and every finite abelian group is realized as such a critical group on some…