23 citations · 59 across the 28 of their papers we have counts for
32 papers · 1 filter
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…
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…
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 …
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…
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…
The seating couple problem in even case
M. Meszka, A. Pasotti, M. A. Pellegrini
In this paper we consider the seating couple problem with an even number of seats, which, using graph theory terminology, can be stated as follows. Given a positive even integer $v…