Ricardo A. Podest'a

activity

20182022

most citedThe spectra of generalized Paley graphs of

(q^{ℓ} + 1)

-th powers and applications

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

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3 papers · 1 filter

math.CO2022

Generalized Paley graphs equienergetic with their complements

Ricardo A. Podestá, Denis E. Videla

We consider generalized Paley graphs $Γ (k, q)$ , generalized Paley sum graphs $Γ^{+} (k, q)$ , and their corresponding complements $Γ ˉ (k, q)$ and $Γ ˉ^{+} (k, q)$ , for $k = 3, 4$ . Denote b…

math.CO2021

Invariant metrics on finite groups

Ricardo A. Podestá, Maximiliano G. Vides

We study invariant and bi-invariant metrics on groups focusing on finite groups $G$ . We show that non-equivalent (bi) invariant metrics on $G$ are in 1-1 correspondence with unitar…

math.CO2018★ 4 cited

The spectra of generalized Paley graphs of $(q^{ℓ} + 1)$ -th powers and applications

Ricardo A. Podestá, Denis E. Videla

We consider a special class of generalized Paley graphs over finite fields, namely the Cayley graphs with vertex set $F_{q^{m}}$ and connection set the nonzero $(q^{ℓ} + 1)$ -…

Generalized Paley graphs equienergetic with their complements

Invariant metrics on finite groups

The spectra of generalized Paley graphs of (qℓ+1)-th powers and applications

The spectra of generalized Paley graphs of $(q^{ℓ} + 1)$ -th powers and applications