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- W3157362192 abstract "For a natural class of $r times n$ integer matrices, we construct a non-convex polytope which periodically tiles $mathbb R^n$. From this tiling, we provide a family of geometrically meaningful maps from a generalized sandpile group to a set of generalized spanning trees which give multijective proofs for several higher-dimensional matrix-tree theorems. In particular, these multijections can be applied to graphs, regular matroids, cell complexes with a torsion-free spanning forest, and representable arithmetic matroids with a multiplicity one basis. This generalizes a bijection given by Backman, Baker, and Yuen and extends work by Duval, Klivans, and Martin." @default.
- W3157362192 created "2021-05-10" @default.
- W3157362192 creator A5005164391 @default.
- W3157362192 date "2020-07-18" @default.
- W3157362192 modified "2023-10-16" @default.
- W3157362192 title "A family of matrix-tree multijections" @default.
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