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math.CO2024
Heffter arrays over partial loops
Raúl M. Falcón, Lorenzo Mella
A Heffter array over an additive group is any partially filled array satisfying that: (1) each one of its rows and columns sum to zero in , and (2) if $i\in G\setminus\{…
math.CO2024
The Hadamard multiary quasigroup product
Raúl M. Falcón, L. Mella, P. Vojtěchovský
The Hadamard quasigroup product has recently been introduced as a natural generalization of the classical Hadamard product of matrices. It is defined as the superposition operator…
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 …