Carla Silva Oliveira

activity

20142024

collaborators

4 papers

cs.DM2024

Some results involving the $A_{α}$ -eigenvalues for graphs and line graphs

Joao Domingos Gomes da Silva Junior, Carla Silva Oliveira, Liliana Manuela Gaspar C. da Costa

Let $G$ be a simple graph with adjacency matrix $A (G)$ , signless Laplacian matrix $Q (G)$ , degree diagonal matrix $D (G)$ and let $l (G)$ be the line graph of $G$ . In 2017, Nikiforov…

cs.DM2022

On the characteristic polynomial of the $A_{α}$ -matrix for some operations of graphs

João Domingos G. da Silva, Carla Silva Oliveira, Liliana Manuela G. C. da Costa

Let G be a graph of order $n$ with adjacency matrix $A (G)$ and diagonal matrix of degree $D (G)$ . For every $α \in [0, 1]$ , Nikiforov \cite{VN17} defined the matrix $A_α(G) = αD(G) +…

math.SP2014

A lower bound for the sum of the two largest signless Laplacian eigenvalues

Leonardo de Lima, Carla Oliveira

Let $G$ be a graph of order $n \geq 3$ with sequence degree given as $d_{1} (G) \geq ... \geq d_{n} (G)$ and let $μ_{1} (G), ..., μ_{n} (G)$ and $q_{1} (G), ..., q_{n} (G)$ be the Laplacian and…

math.SP2014

Spectra of the blow-up graphs

Carla Oliveira, Leonardo de Lima, Vladimir Nikiforov

Let $G$ be graph on $n$ vertices and $G^{(t)}$ its blow-up graph of order $t .$ In this paper, we determine all eigenvalues of the Laplacian and the signless Laplacian matrix of $G^…

Some results involving the Aα​-eigenvalues for graphs and line graphs

On the characteristic polynomial of the Aα​-matrix for some operations of graphs

A lower bound for the sum of the two largest signless Laplacian eigenvalues

Spectra of the blow-up graphs

Some results involving the $A_{α}$ -eigenvalues for graphs and line graphs

On the characteristic polynomial of the $A_{α}$ -matrix for some operations of graphs