activity
20092025
most citedGlobally simple Heffter arrays and orthogonal cyclic cycle decompositions

23 citations · 59 across the 28 of their papers we have counts for

collaborators

33 papers

math.LO2025

Definability of some -ary Relations Over Second Order kinds of Logics

Simone Costa, Marco Dalai, Stefano Della Fiore +1

We consider the exprissibility in monadic second order logic of certain relations of importance in computer science. For integers and , a -tuple of sequences…

math.CO2025

On relative simple Heffter spaces

Laura Johnson, Lorenzo Mella, Anita Pasotti

In this paper, we introduce the concept of a relative Heffter space which simultaneously generalizes those of relative Heffter arrays and Heffter spaces. Given a subgroup of an…

math.CO2024

Shiftable Heffter spaces

Marco Buratti, Anita Pasotti

The shiftable Heffter arrays are naturally generalized to the shiftable Heffter spaces. We present a recursive construction which starting from a single shiftable Heffter space lea…

math.CO2024

The extended irregular domination problem

Lorenzo Mella, Anita Pasotti

In this paper we introduce a new domination problem strongly related to the following one recently proposed by Broe, Chartrand and Zhang. One says that a vertex of a graph …

math.CO2024

More Heffter Spaces via finite fields

Marco Buratti, Anita Pasotti

A Heffter space is a resolvable configuration whose points form a half-set of an abelian group and whose blocks are all zero-sum in . It was recently p…

math.CO2023★ 1 cited

A conjecture on the Crazy Knight's Tour Problem

Lorenzo Mella, Anita Pasotti

Let be an toroidal array containing filled and empty cells. Fix an orientation of each row and an orientation of each column…