activity
20172026
most citedNew lower bounds for the energy of matrices and graphs

1 citations · 1 across the 11 of their papers we have counts for

collaborators

13 papers

math.CO2026

On properties of the conformal circulant matrices

Cristina Manzaneda, Enide Andrade

In this paper, we introduce and study conformal permutation matrices. In particular, for a permutation , we define the corresponding conformal permutation matrix $H_{π_…

math.SP2026

On the Vertex Seidel Energy of Graphs

Kalpesh M. Popat, Enide Andrade

We introduce the vertex Seidel energy via the diagonal entries of the absolute Seidel matrix. We establish a spectral formula, compute exact values for several graph families, deri…

math.CO2025

Doubly Stochastic Matrices and Modified Laplacian Matrices of Graphs

Enide Andrade, Geir Dahl

We consider modified Laplacian matrices of graphs, obtained by adding the identity matrix to the Laplacian matrix of a graph . This results in a positive definite matrix $…

math.CO2023

Combinatorial Fiedler Theory and Graph Partition

Enide Andrade, Geir Dahl

Partition problems in graphs are extremely important in applications, as shown in the Data science and Machine learning literature. One approach is spectral partitioning based on a…

math.SP2023

On the Eigenvectors of Generalized Circulant Matrices

Enide Andrade, Dante Carrasco-Olivera, Cristina Manzaneda

In this paper, closed formulas for the eigenvectors of a particular class of matrices generated by generalized permutation matrices, named generalized circulant matrices, are prese…

math.SP2019

On the spectra of -circulant matrices and applications

Enide Andrade, Luis Arrieta, María Robbiano

A g-circulant matrix of order n is defined as a matrix of order n where each row is a right cyclic shift in g-places to the preceding row. Using number theory, certain nonnegative…

math.SP2019★ 1 cited

New lower bounds for the energy of matrices and graphs

Enide Andrade, Juan Carmona, Geraldine Infante +1

Let be a Hermitian matrix. The energy of , , corresponds to the sum of the absolute values of its eigenvalues. In this work it is obtained two lower bounds f…

math.SP2018

Bounds for Different Spreads of Line and Total Graphs

E. Andrade, E. Lenes, E. Mallea +2

In this paper we explore some results concerning the spread of the line and the total graph of a given graph. In particular, it is proved that for an connected graph wi…

math.SP2018

Lower bounds for Laplacian spread and relations with invariant parameters revisited

Enide Andrade, Maria Aguieiras A. de Freitas, María Robbiano +1

Let be an -graph and a nonempty proper subset of . Let $X^{c}=V\left( G\right) \ba…

math.SP2018

New Bounds for the Signless Laplacian Spread

Enide Andrade, Geir Dahl, Laura Leal +1

Let be a simple graph. The signless Laplacian spread of is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new b…

math.SP2018

Block matrices and Guo's Index for block circulant matrices with circulant blocks

Enide Andrade, Cristina Manzaneda, Hans Nina +1

In this paper we deal with circulant and partitioned into -by- circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of find…

math.SP2017

Realizable Lists on a Class of Nonnegative Matrices

Cristina B. Manzaneda, Enide Andrade, María Robbiano

A square matrix of order n with is called permutative matrix when all its rows (up to the frst one) are permutations of precisely its frst row. In this paper recalling sp…

math.SP2017

Realizable lists via the spectra of structured matrices

Cristina B. Manzaneda, Enide Andrade, María Robbiano

A square matrix of order with is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first r…