Research Output per year

## Personal profile

### Education/Academic qualification

Mathematics, Speciality of Algebra, Doctorate, Faculdade de Ciências e Tecnologia (FCT)

## Fingerprint Dive into the research topics where Carlos Manuel Saiago is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 1 Similar Profiles

Multiplicity
Mathematics

Eigenvalue
Mathematics

Graph in graph theory
Mathematics

Hermitian matrix
Mathematics

Multiple Eigenvalues
Mathematics

Vertex Degree
Mathematics

Principal Submatrix
Mathematics

Inverse Eigenvalue Problem
Mathematics

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output at NOVA 2002 2019

## The change in multiplicity of an eigenvalue due to adding or removing edges

Johnson, C. R., Saiago, C. M. & Toyonaga, K., 1 Jan 2019, In : Linear Algebra and Its Applications. 560, p. 86-99 14 p.Research output: Contribution to journal › Article

Multiplicity

Eigenvalue

Eigenvalues of a Hermitian matrix

Graph in graph theory

Simple Graph

## ÁLGEBRA LINEAR: Teoria, Exercícios Resolvidos e Exercícios Propostos com Soluções (5ª Edição)

Esquível, I. M. D. S. C. I., Perdigão, C. & Saiago, C. M., 1 Sep 2018, 5th ed. Portugal: Escolar Editora. 592 p.Research output: Book/Report › Book

## Eigenvalues, Multiplicities and Graphs

Johnson, C. R. & Saiago, C. M., 1 Feb 2018, United States of America: Cambridge Universtiy Press. 310 p. (Cambridge Tracts in Mathematics; vol. 211)Research output: Book/Report › Book

1
Citation
(Scopus)

## Geometric Parter–Wiener, etc. theory

Johnson, C. R. & Saiago, C. M., 15 Jan 2018, In : Linear Algebra and Its Applications. 537, p. 332-347 16 p.Research output: Contribution to journal › Article

Multiplicity

Eigenvalue

Hermitian matrix

Branch

Lower bound

## The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree

Johnson, C. R., Leal-Duarte, A. & Saiago, C. M., 15 Dec 2018, In : Linear Algebra and Its Applications. 559, p. 1-10 10 p.Research output: Contribution to journal › Article

Multiplicity

Hermitian matrix

Eigenvalue

Graph in graph theory

Generalise

## Activities 2019 2019

- 1 Editorial activity

## special matrices (Journal)

Carlos Manuel Saiago (Editorial board member)20 Mar 2019 → 31 Dec 2019

Activity: Publication peer-review and editorial work › Editorial activity