J. D. G. D. A. Junior

collaborators

3 papers

math.CO2026

Eigenvalues of $L_{I^} \pm -$ matrices under graph operations

Gabriel Roberto Silva de Lima, Carla Silva Oliveira, JoÃ£o 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_Î±…

cs.DM2025

New results on $B_{I^} \pm$ -eigenvalues of a graph

Germain PastÃ©n, Carla Silva Oliveira, JoÃ£o Domingos G. da Silva Junior +1

Let $G$ be a graph with adjacency matrix $A (G)$ and Laplacian matrix $L (G)$ . In 2024, Samanta \textit{et} \textit{al.} defined the convex linear combination of $A (G)$ and $L (G)$ as…

math.CO2025

Bounds on $A_{I^} \pm$ -eigenvalues using graph invariants

JoÃ£o Domingos Gomes da Silva Junior, Carla Silva Oliveira, Liliana Manuela Gaspar Cerveira da Costa

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

Eigenvalues of LI^​±−matrices under graph operations

New results on BI^​±-eigenvalues of a graph

Bounds on AI^​±-eigenvalues using graph invariants

Eigenvalues of $L_{I^} \pm -$ matrices under graph operations

New results on $B_{I^} \pm$ -eigenvalues of a graph

Bounds on $A_{I^} \pm$ -eigenvalues using graph invariants