Carlos M. da Fonseca

On structural properties of trees with minimal atom-bond connectivity index III

The {\em atom-bond connectivity (ABC) index} is a degree-based graph topological index that found chemical applications. The problem of complete characterization of trees with minimal

On a family of trees with minimal atom-bond connectivity index

ABC

Basic trigonometric power sums with applications

index is still an open problem. In~\cite{d-sptmabci-2014}, it was shown that trees with minimal ABC index do not contain so-called {\em

Some comments on k-tridiagonal matrices

B_k

The singular acyclic matrices with the second largest number of P-vertices

-branches}, with

A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices

k \geq 5

Topological classification of sesquilinear forms: Reduction to the nonsingular case

, and that they do not have more than four

Unifying some Pell and Fibonacci identities

B_4

Topological classification of systems of bilinear and sesquilinear forms

-branches. Our main results here reveal that the number of

A Panorama of Mathematics: Pure and Applied

B_1