4 citations · 4 across the 7 of their papers we have counts for
7 papers
On distance integral and distance Laplacian integral graphs
S. Pirzada, Ummer Mushtaq, Leonardo de Lima
Let be a connected graph on vertices and let and be the distance and the distance Laplacian matrices associated with . A graph is said to be -in…
Structured eigenbases and pair state transfer on threshold graphs
Leonardo de Lima, Renata Del-Vecchio, Hermie Monterde +1
Recently, Macharete, Del-Vecchio, Teixeira and de Lima showed that a star and any threshold graph on the same number of vertices share the same eigenbasis relative to the Laplacian…
On some classes of bivalent and trivalent planar graphs
Jorge Alencar, Jean-Guy Caputo, Leonardo de Lima +1
A graph is called bivalent or trivalent if there exists an eigenvector of the graph Laplacian composed from {-1,1} or {-1,0,1}, respectively. These bivalent and trivalent eigenvect…
Positive and Negative Square Energies of Graphs
Aida Abiad, Leonardo de Lima, Dheer Noal Desai +3
The energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of . Let denote the sum of the squares of the positive an…
On graphs with eigenvectors in and the max -cut problem
Jorge Alencar, Leonardo de Lima, Vladimir Nikiforov
In this paper, we characterize all graphs with eigenvectors of the signless Laplacian and adjacency matrices with components equal to We extend the graph parameter…
Laplacian integral graphs with a given degree sequence constraint
Anderson Fernandes Novanta, Carla S. Oliveira, Leonardo S. de Lima
Let G be a graph on n vertices. The Laplacian matrix of G, denoted by L(G), is defined as L(G) = D(G) - A(G), where A(G) is the adjacency matrix of G and D(G) is the diagonal matri…
On graphs with adjacency and signless Laplacian matrix eigenvectors entries in
Jorge Alencar, Leonardo de Lima
Let be a simple graph. In 1986, Herbert Wilf asked what kind of graphs have an eigenvector with entries formed only by ? In this paper, we answer this question for the a…