Ricardo A. Podest'a

collaborators

4 papers

math.CO2026

On the number of solutions of systems of diagonal equations through diagonal GP-graphs: the general and the Hermitian-form cases

Ricardo A. Podestá, Denis E. Videla

For any $m, s \in N$ , we study the number $N_{m \times s, q} (κ, β)$ of solutions $(x_{1}, \dots, x_{s}) \in (F_{q})^{s}$ of the monic system of diagonal equations $$ X_{1}^{…

math.CO2026

On $k$ -th unitary Cayley graphs over finite commutative rings: structure and decompositions

Ricardo A. PodestÃ¡, Denis E. Videla

Given $R$ a finite commutative ring with identity and $k \in N$ , we consider the $k$ -th unitary Cayley graph $G_{R} (k) = C a y (R, U_{R, k})$ with $U_{R, k} = {x^{k} : x \in R^{*}}$ ,…

math.CO2026

Isospectral Cayley graphs with even and odd spectrum

Paula M. Chiapparoli, Ricardo A. PodestÃ¡

For a group $G$ and subsets $S, T \subset G$ we introduce the mirror di-Cayley graph $M X (G; S, T)$ and mirror di-Cayley sum graph $M X^{+} (G; S, T)$ with connections sets $S$ and $T$ (MDCG…

math.CO2026

The nature of the spectrum of generalized Paley graphs and weak Waring numbers over finite fields

Ricardo A. PodestÃ¡, Denis E. Videla

We consider the family of generalized Paley graphs (GP-graphs for short) $I^ (k, q) = C a y (F_{q}, (F_{q}^{*})^{k})$ , with $q = p^{m}$ and $p$ prime. We characterize all GP-graph…

On the number of solutions of systems of diagonal equations through diagonal GP-graphs: the general and the Hermitian-form cases

On k-th unitary Cayley graphs over finite commutative rings: structure and decompositions

Isospectral Cayley graphs with even and odd spectrum

The nature of the spectrum of generalized Paley graphs and weak Waring numbers over finite fields

On $k$ -th unitary Cayley graphs over finite commutative rings: structure and decompositions