C. S. Oliveira

activity

20242026

collaborators

5 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 $L_{α}$ …

cs.DM2025

$k$ -path graphs: experiments and conjectures about algebraic connectivity and $α$ -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 $B_{α}$ -eigenvalues of a graph

Germain Pastén, Carla Silva Oliveira, João 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…

cs.DM2025

On the distribution of $A_{α}$ -eigenvalues in terms of graph invariants

Uilton Cesar Peres Junior, Carla Silva Oliveira, André Ebling Brondan

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 $α \in [0, 1]$ , Nikiforov~(2017) introduced…

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

k-path graphs: experiments and conjectures about algebraic connectivity and α-index

New results on Bα​-eigenvalues of a graph

On the distribution of Aα​-eigenvalues in terms of graph invariants

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

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

$k$ -path graphs: experiments and conjectures about algebraic connectivity and $α$ -index

New results on $B_{α}$ -eigenvalues of a graph

On the distribution of $A_{α}$ -eigenvalues in terms of graph invariants

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