Jonnathan Rodr'iguez

collaborators

3 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.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

Lower bounds for Laplacian spread and relations with invariant parameters revisited

Enide Andrade, Maria Aguieiras A. de Freitas, María Robbiano +1

Let $G = (V (G), E (G))$ be an $(n, m)$ -graph and $X$ a nonempty proper subset of $V (G)$ . Let $X^{c}=V\left( G\right) \ba…