Simone Costa

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2024

Orthogonal and oriented Fano planes, triangular embeddings of $K_{7},$ and geometrical representations of the Frobenius group $F_{21}$

Simone Costa, Marco Pavone

In this paper we present some geometrical representations of the Frobenius group of order $21$ (henceforth, $F_{21}$ ). The main focus is on investigating the group of common automo…

math.CO2024

Weak multiset sequenceability and weak BHR conjecture

Simone Costa

A subset $S$ of a group $(G, +)$ is $t$ -weakly sequenceable if there is an ordering $(y_{1}, \dots, y_{k})$ of its elements such that the partial sums~ $s_{0}, s_{1}, \dots, s_{k}$ , given by…

math.CO2024

Variants of the Erdős distinct sums problem and variance method

Simone Costa, Stefano Della Fiore, Andrea Ferraguti

Let $Σ = {a_{1}, \dots, a_{n}}$ be a set of positive integers with $a_{1} < \dots < a_{n}$ such that all $2^{n}$ subset sums are pairwise distinct. A famous conjecture of Erdős states tha…

math.CO2014

On MPS construction of blocking sets in projective spaces: a generalization

Simone Costa

In this paper we provide a generalization of the MPS construction of blocking sets of $P G (r, q^{n})$ using subspaces of dimension $s \leq n - 2$ . By this construction, we determine a new…

Orthogonal and oriented Fano planes, triangular embeddings of K7​, and geometrical representations of the Frobenius group F21​

Weak multiset sequenceability and weak BHR conjecture

Variants of the Erdős distinct sums problem and variance method

On MPS construction of blocking sets in projective spaces: a generalization

Orthogonal and oriented Fano planes, triangular embeddings of $K_{7},$ and geometrical representations of the Frobenius group $F_{21}$