Man

Oscar Oscar Rojo Rojo

UNIVERSIDAD CATÓLICA DEL NORTE

Antofagasta, Chile

Líneas de Investigación


Spectral Graph Theory; Theory of Matrices


 

Article (68)

The distance Randic matrix of connected graphs
On the minimal D?? spectral radius of graphs subject to fixed connectivity
The maximal ??index of trees with k pendent vertices and its computation
EFFECTS ON THE DISTANCE LAPLACIAN SPECTRUM OF GRAPHS WITH CLUSTERS BY ADDING EDGES
New bounds on the distance Laplacian and distance signless Laplacian spectral radii
New results on the D-alpha-matrix of connected graphs
Distance matrices on the H-join of graphs: A general result and applications
Sharp upper bounds on the distance energies of a graph
M-matrices with prescribed elementary divisors
ON TREES WITH MAXIMUM ALGEBRAIC CONNECTIVITY
Effects on the Energy and Estrada Indices by Adding Edges Among Pendent Vertices
Laplacian Spectrum, Laplacian-Energy-Like Invariant, and Kirchhoff Index of Graphs Constructed by Adding Edges on Pendent Vertices
On the Faria's inequality for the Laplacian and signless Laplacian spectra: A unified approach
The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
Ordering trees and graphs with few cycles by algebraic connectivity
A NEW UPPER BOUND ON THE LARGEST NORMALIZED LAPLACIAN EIGENVALUE
A sharp upper bound on the incidence energy of graphs in terms of connectivity
COPIES OF A ROOTED WEIGHTED GRAPH ATTACHED TO AN ARBITRARY WEIGHTED GRAPH AND APPLICATIONS
Eigenvalues of a H-generalized join graph operation constrained by vertex subsets
An upper bound on the largest signless Laplacian of an odd unicyclic graph
Construction of Bipartite Graphs Having the Same Randle Energy
Eigenvalues of certain weighted graphs joined at their roots having cliques at some levels
Algebraic connectivity on a subclass of caterpillars
Line graph eigenvalues and line energy of caterpillars
Line graph of combinations of generalized Bethe trees: Eigenvalues and energy
ON NONNEGATIVE REALIZATION OF PARTITIONED SPECTRA
SPECTRA OF WEIGHTED ROOTED GRAPHS HAVING PRESCRIBED SUBGRAPHS AT SOME LEVELS
ALGEBRAIC CONNECTIVITY FOR SUBCLASSES OF CATERPILLARS
Energy of line graphs
EXTREMAL ALGEBRAIC CONNECTIVITIES OF CERTAIN CATERPILLAR CLASSES AND SYMMETRIC CATERPILLARS
On the algebraic connectivity of some caterpillars: A sharp upper bound and a total ordering
Spectral characterization of some weighted rooted graphs with cliques
Computing tight upper bounds on the algebraic connectivity of certain graphs
Constructing Graphs with Energy root rE(G) where G is a Bipartite Graph
Guo perturbation for symmetric nonnegative circulant matrices
Maximizing the algebraic connectivity for a subclass of caterpillars
Spectra of copies of a generalized Bethe tree attached to any graph
Spectra of generalized Bethe trees attached to a path
SPECTRA OF WEIGHTED COMPOUND GRAPHS OF GENERALIZED BETHE TREES
A new algebra of Toeplitz-plus-Hankel matrices and applications
New upper bounds on the spectral radius of unicyclic graphs
Spectra of weighted generalized Bethe trees joined at the root
A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs
An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree
Isospectral flows preserving some centrosymmetric structures
Isospectral flows that preserve matrix structure
On the spectra of some weighted rooted trees and applications
On the sth Laplacian eigenvalue of trees of order st+1
Symmetric nonnegative realization of spectra
The spectra of a graph obtained from copies of a generalized Bethe tree
Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
Inequalities involving the mean and the standard deviation of nonnegative real numbers
On the spectra of certain rooted trees
The spectra of some trees and bounds for the largest eigenvalue of any tree
Tight bounds on the algebraic connectivity of Bethe trees
Improved bounds for the largest eigenvalue of trees
The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
A decreasing sequence of upper bounds on the largest Laplacian eigenvalue of a graph
Some results on symmetric circulant matrices and on symmetric centrosymmetric matrices
THE SPECTRUM OF THE LAPLACIAN MATRIX OF A BALANCED 2p-ARY TREE
A note on the integer eigenvalues of the Laplacian matrix of a balanced binary tree
Constructing symmetric nonnegative matrices via the fast Fourier transform
Existence and construction of nonnegative matrices with complex spectrum
The spectrum of the Laplacian matrix of a balanced binary tree
A note on the construction of a positive oscillatory matrix with a prescribed spectrum
Fast construction of a symmetric nonnegative matrix with a prescribed spectrum
An always nontrivial upper bound for Laplacian graph eigenvalues
Bounds for sums of eigenvalues and applications

Proyecto (12)

MATRICES ON A GRAPH=> EIGENVALUES, ENERGIES, ORDERING AND CONJECTURES
INVERSE ELEMENTARY DIVISORS PROBLEM FOR NONNEGATIVE MATRICES
GRAPH EIGENVALUES, ORDERING TREES AND GRAPH ENERGIES
NONNEGATIVE REALIZATION OF SPECTRA AND RELATED TOPICS
EIGENVALUES OF GRAPHS AND NONNEGATIVE INVERSE EIGENVALUE PROBLEMS
REALIZABILITY CRITERIA AND NEGATIVITY COMPENSATION IN THE NONNEGATIVE INVERSE SPECTRUM PROBLEM
SOME STRUCTURED INVERSE EIGENVALUE PROBLEMS AND LAPLACIAN GRAPH EIGENVALUES
INVERSE EIGENVALUE PROBLEMS FOR NONNEGATIVE MATRICES.
SINGULAR CONTROL SYSTEMS ON LIE GROUPS.
COTAS PARA VALORES SINGULARES DE MATRICES
LOCALIZACION DE AUTOVALORES DE MATRICES Y CONSTRUCCION DE OBSERVADORES
PROBLEMAS INVERSOS DE AUTOVALOR PARA MATRICES
67
Oscar Rojo

UNIVERSIDAD CATÓLICA DEL NORTE

Antofagasta, Chile

12
Luis Medina

Profesor Asociado

UNIVERSIDAD DE ANTOFAGASTA

Antofagasta, Chile

5
Ricardo Soto

Académico

Matemáticas

Universidad Católica del Norte

Antofagasta, Chile

4
María Robbiano

UNIVERSIDAD CATÓLICA DEL NORTE

Antofagasta, Chile