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math.CO2012
Matroids over a ring
Alex Fink, Luca Moci
We introduce the notion of a matroid M over a commutative ring R, assigning to every subset of the ground set an R-module according to some axioms. When R is a field, we recover ma…
math.CO2012
The multivariate arithmetic Tutte polynomial
Petter Brändén, Luca Moci
We introduce an arithmetic version of the multivariate Tutte polynomial, and (for representable arithmetic matroids) a quasi-polynomial that interpolates between the two. A general…