Elismar R. Oliveira

activity

20242026

collaborators

5 papers

math.CO2026

Most A $_{α}$ -eigenvalues of a tree are small

Elvia P. Barturén, Elismar R. Oliveira

We study the distribution of $A_{α}$ -eigenvalues of a tree. We extend the works \cite{Jacobs2021} and \cite{SIN2020} by proving that the number of $A_{α}$ -eigenvalues, for $0\leq α\leq…

math.CO2025

Distribution of deformed Laplacian limit points

Elismar R. Oliveira, Jonas Szutkoski, VIlmar Trevisan

This paper investigates limit points of the deformed Laplacian matrix, which merges the Laplacian and signless Laplacian matrices of a graph through a quadractic one-parameter fami…

math.CO2025

Spectral properties of the deformed Laplacian matrix of trees and H-join graphs

Roberto C. Díaz, Elismar R. Oliveira, Vilmar Trevisan

This paper investigates spectral properties of the deformed Laplacian matrix, which merges the Laplacian and signless Laplacian matrices of a graph through a one-parameter family o…

math.CO2024

Limit points of (signless) Laplacian spectral radii of linear trees

Francesco Belardo, Elismar R. Oliveira, Vilmar Trevisan

We study limit points of the spectral radii of Laplacian matrices of graphs. We adapted the method used by J. B. Shearer in 1989, devised to prove the density of adjacency limit po…

math.CO2024

Limit points of $A_{α}$ -matrices of graphs

Elismar R. Oliveira, Vilmar Trevisan

We study limit points of the spectral radii of $A_{α}$ -matrices of graphs. Adapting a method used by J. B. Shearer in 1989, we prove a density property of $A_{α}$ -limit points of cater…

Most Aα​-eigenvalues of a tree are small

Distribution of deformed Laplacian limit points

Spectral properties of the deformed Laplacian matrix of trees and H-join graphs

Limit points of (signless) Laplacian spectral radii of linear trees

Limit points of Aα​-matrices of graphs

Most A $_{α}$ -eigenvalues of a tree are small

Limit points of $A_{α}$ -matrices of graphs