Vilmar Trevisan

collaborators

3 papers

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…

math.CO2023

An interlacing property of the signless Laplacian of threshold graphs

Christoph Helmberg, Guilherme Porto, Guilherme Torres +1

We show that for threshold graphs, the eigenvalues of the signless Laplacian matrix interlace with the degrees of the vertices. As an application, we show that the signless Brouwer…

math.CO2023

Diminimal families of arbitrary diameter

Luiz Emilio Allem, Rodrigo Orsini Braga, Carlos Hoppen +3

Given a tree $T$ , let $q (T)$ be the minimum number of distinct eigenvalues in a symmetric matrix whose underlying graph is $T$ . It is well known that $q (T) \geq d (T) + 1$ , where $d(T)…

Limit points of Aα​-matrices of graphs

An interlacing property of the signless Laplacian of threshold graphs

Diminimal families of arbitrary diameter

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