C. S. Oliveira

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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

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…

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…

cs.DM2024

Some results involving the $A_{I^} \pm$ -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…

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

Some results involving the AI^​±-eigenvalues for graphs and line graphs

$k$ -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

Some results involving the $A_{I^} \pm$ -eigenvalues for graphs and line graphs