L. Mella

activity

20222026

most citedConstructing generalized Heffter arrays via near alternating sign matrices

4 citations · 5 across the 10 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.CO2023★ 1 cited

A conjecture on the Crazy Knight's Tour Problem

Lorenzo Mella, Anita Pasotti

Let $A$ be an $m \times n$ toroidal array containing filled and empty cells. Fix an orientation $R = (r_{1}, \dots, r_{m})$ of each row and an orientation $C = (c_{1}, \dots, c_{n})$ of each column…

math.GM2023

A solution to the 7-prince's tour problem

Lorenzo Mella

In [1] the authors studied the closed tour problem on the $8 \times 8$ chessboard of a chess piece, called $k$ -prince, leaving open the existence of such a tour when $k = 7$ . In this…

math.CO2023★ 4 cited

Constructing generalized Heffter arrays via near alternating sign matrices

Lorenzo Mella, Tommaso Traetta

Let $S$ be a subset of a group $G$ (not necessarily abelian) such that $S \cap - S$ is empty or contains only elements of order $2$ , and let $\mathbf{h}=(h_1,\ldots, h_m)\in \mathb…

math.CO2023

Weak Heffter Arrays and biembedding graphs on non-orientable surfaces

Simone Costa, Lorenzo Mella, Anita Pasotti

In 2015, Archdeacon proposed the notion of Heffter arrays in view of its connection to several other combinatorial objects. In the same paper he also presented the following varian…