9 citations · 21 across the 4 of their papers we have counts for
4 papers
Arithmetic matroids, Tutte polynomial, and toric arrangements
Michele D'Adderio, Luca Moci
We introduce the notion of an arithmetic matroid, whose main example is given by a list of elements of a finitely generated abelian group. In particular we study the representabili…
Ehrhart polynomial and multiplicity Tutte polynomial
Michele D'Adderio, Luca Moci
We prove that the Ehrhart polynomial of a zonotope is a specialization of the multiplicity Tutte polynomial. We derive some formulae for the volume and the number of integer points…
On a conjecture of Hivert and Thiéry about Steenrod operators
Michele D'Adderio, Luca Moci
We prove some results related to a conjecture of Hivert and Thiéry about the dimension of the space of q-harmonics. In the process we compute the actions of the involved operators…
On isoperimetric profiles of algebras
Michele D'Adderio
Isoperimetric profile in algebras was first introduced by Gromov. We study the behavior of the isoperimetric profile under various ring theoretic constructions and its relation wit…