Jonnathan Rodríguez

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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…

math.SP2018

On the diameter and incidence energy of iterated total graphs

Eber Lenes, Exequiel Mallea-Zepeda, María Robbiano +1

The total graph of $G$ , $T (G)$ is the graph whose set of vertices is the union of the sets of vertices and edges of $G$ , where two vertices are adjacent if and only if the…