C. S. Oliveira

collaborators

4 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.DM2026

$k$ -path graphs: experiments and conjectures about algebraic connectivity and $I^\pm$ -index

Rafael L. de Paula, Claudia M. Justel, Carla S. Oliveira +1

This work presents conjectures about eigenvalues of matrices associated with $k$ -path graphs, the algebraic connectivity, defined as the second smallest eigenvalue of the Laplacian…

cs.DM2025

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

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…

cs.DM2025

On the distribution of $A_{I^} \pm$ -eigenvalues in terms of graph invariants

Let $G$ be a connected graph of order $n$ , and $A (G)$ and $D (G)$ its adjacency and degree diagonal matrices, respectively. For a parameter $I^\pm \in [0, 1]$ , Nikiforov~(2017) introduce…

Eigenvalues of LI^​±−matrices under graph operations

k-path graphs: experiments and conjectures about algebraic connectivity and I^±-index

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

On the distribution of AI^​±-eigenvalues in terms of graph invariants

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

$k$ -path graphs: experiments and conjectures about algebraic connectivity and $I^\pm$ -index

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

On the distribution of $A_{I^} \pm$ -eigenvalues in terms of graph invariants