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math.CO2026★ 13 cited
Counting Arithmetical Structures on Paths and Cycles
Benjamin Braun, Hugo Corrales, Scott Corry +6
Let be a finite, simple, connected graph. An arithmetical structure on is a pair of positive integer vectors such that $(\mathrm{diag}(\mathbf{d})-A…
math.CO2025
Cycle systems, coparking functions, and h-vectors of matroids
Scott Corry, Anton Dochtermann, SolÃs McClain +2
The h-vector of a matroid M is an important invariant related to the independence complex of M and can also be recovered from an evaluation of its Tutte polynomial. A well-known co…