João Domingos Gomes da Silva

activity

20242026

collaborators

3 papers

math.CO2026

Eigenvalues of $L_{α} -$ matrices under graph operations

Gabriel Roberto Silva de Lima, Carla Silva Oliveira, João Domingos Gomes da Silva Junior

Let $G$ be a simple graph, $A (G)$ its adjacency matrix, and $D (G)$ its diagonal degree matrix. In 2022, \citeauthor{Wang2020} (\cite{Wang2020}) defined the family of matrices $L_{α}$ …

math.CO2025

Bounds on $A_{α}$ -eigenvalues using graph invariants

João Domingos Gomes da Silva Junior, Carla Silva Oliveira, Liliana Manuela Gaspar Cerveira da Costa

In 2017, Nikiforov introduced the concept of the $A_{α}$ -matrix, as a linear convex combination of the adjacency matrix and the degree diagonal matrix of a graph. This matrix has att…

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…

Eigenvalues of Lα​−matrices under graph operations

Bounds on Aα​-eigenvalues using graph invariants

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

Eigenvalues of $L_{α} -$ matrices under graph operations

Bounds on $A_{α}$ -eigenvalues using graph invariants

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