R. Podest'a

activity

20142026

most citedNew identities for binary Krawtchouk polynomials, binomial coefficients and Catalan numbers

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.CO2020

On regular graphs equienergetic with their complements

Ricardo A. Podestá, Denis E. Videla

We give necessary and sufficient conditions on the parameters of a regular graph $Γ$ (with or without loops) such that $E (Γ) = E (Γ)$ . We study complementary equienergetic c…

math.GM2020

A geometric proof that $3$ , $5$ and $7$ are irrational

Ricardo A. Podestá

We show geometrically that $n$ is irrational for $n = 3, 5, 7$ by adapting Tennenbaum's geometric proof that $2$ is irrational. We also show that this method cannot be used…

math.CO2020

Isometries between finite groups

Ricardo A. Podestá, Maximiliano G. Vides

We prove that if $H$ is a subgroup of index $n$ of any cyclic group $G$ , then $G$ can be isometrically embedded in $(H^{n}, d_{_{H am}}^{n})$ , thus generalizing previous results of Carl…

On regular graphs equienergetic with their complements

A geometric proof that 3​, 5​ and 7​ are irrational

Isometries between finite groups

A geometric proof that $3$ , $5$ and $7$ are irrational