Juan R. Carmona

most citedNew lower bounds for the energy of matrices and graphs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.SP2019

Some New Lower Bounds for the Estrada Index

Juan L. Aguayo, Juan R. Carmona, Jonnathan Rodríguez

Let $G$ be a graph on $n$ vertices and $λ_{1}, λ_{2}, \dots, λ_{n}$ its eigenvalues. The Estrada index of $G$ is an invariant that is calculated from the eigenvalues of the adjacency matri…

math.CO2019

On the energy of digraphs

Juan R. Carmona

Let $D$ be a simple digraph with eigenvalues $z_{1}, z_{2}, ..., z_{n}$ . The energy of $D$ is defined as $E (D) = \sum_{i = 1}^{n} ∣ R e (z_{i}) ∣$ , is the real part of the eigenvalue $z_{i}$ . In this pa…

math.SP2019★ 1 cited

New lower bounds for the energy of matrices and graphs

Enide Andrade, Juan Carmona, Geraldine Infante +1

Let $R$ be a Hermitian matrix. The energy of $R$ , $E (R)$ , corresponds to the sum of the absolute values of its eigenvalues. In this work it is obtained two lower bounds f…

math.CO2018

An increasing sequence of lower bounds for the Estrada index of graphs and matrices

Juan R. Carmona, Jonnathan Rodríguez

Let $G$ be a graph on $n$ vertices and $λ_{1} \geq λ_{2} \geq \dots \geq λ_{n}$ its eigenvalues. The Estrada index of $G$ is defined as $E E (G) = \sum_{i = 1}^{n} e^{λ_{i}} .$ In this work, we usin…

math.SP2018

New lower bounds for the Estrada and Signless Laplacian Estrada Index of a Graph

Juan L. Aguayo, Juan R. Carmona, Jonnathan Rodríguez

Let $G$ be a graph on $n$ vertices and $λ_{1}, λ_{2}, \dots, λ_{n}$ its eigenvalues. The Estrada index of $G$ is defined as $E E (G) = \sum_{i = 1}^{n} e^{λ_{i}} .$ In this work, using a different de…