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Author

Carlos M. Saiago

Observed name: Carlos Saiago
ORCID: 0000-0001-9843-3821
Observed ORCID: 0000-0001-9843-3821
OpenAlex ID: A5073585639
The Parter--Wiener Theorem: Refinement and Generalization
2003 · Charles R. Johnson, António Leal Duarte, et al. · SIAM Journal on Matrix Analysis and Applications · 108
Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars
2003 · Charles R. Johnson, António Leal Duarte, et al. · Linear Algebra and its Applications · 51
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On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
2003 · Charles R. Johnson, António Leal Duarte, et al. · Linear Algebra and its Applications · 41
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Eigenvalues, Multiplicities and Graphs
2018 · Charles R. Johnson, Carlos M. Saiago · Cambridge University Press eBooks · 37
Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
2002 · Charles Johnson, Carlos Saiago · Electronic Journal of Linear Algebra · 28
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Eigenvalues, multiplicities and graphs
2006 · Charles R. Johnson, António Leal Duarte, et al. · Contemporary mathematics - American Mathematical Society · 19
Geometric Parter–Wiener, etc. theory
2017 · Charles R. Johnson, Carlos M. Saiago · Linear Algebra and its Applications · 18
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The structure of matrices with a maximum multiplicity eigenvalue
2008 · Charles R. Johnson, António Leal Duarte, et al. · Linear Algebra and its Applications · 14
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Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree
2006 · Charles R. Johnson, Carlos M. Saiago · Linear and Multilinear Algebra · 12
Diameter minimal trees
2015 · Charles R. Johnson, Carlos M. Saiago · Linear and Multilinear Algebra · 9
The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
2011 · Charles R. Johnson, António Leal-Duarte, et al. · Linear and Multilinear Algebra · 9
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Questions, conjectures, and data about multiplicity lists for trees
2016 · Shannon P. Buckley, Joseph G. Corliss, et al. · Linear Algebra and its Applications · 7
Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field
2017 · Charles R. Johnson, Carlos M. Saiago, et al. · Linear and Multilinear Algebra · 6
Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph
2006 · Charles R. Johnson, António Leal Duarte, et al. · Chapman & Hall/CRC eBooks · 6
Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments
2019 · Carlos M. Saiago · Special Matrices · 5
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The trees for which maximum multiplicity implies the simplicity of other eigenvalues
2006 · Charles R. Johnson, Carlos M. Saiago · Discrete Mathematics · 4
The change in multiplicity of an eigenvalue due to adding or removing edges
2018 · Charles R. Johnson, Carlos M. Saiago, et al. · Linear Algebra and its Applications · 3
The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree
2018 · Charles R. Johnson, António Leal-Duarte, et al. · Linear Algebra and its Applications · 3
Change in vertex status after removal of another vertex in the general setting
2020 · Charles R. Johnson, Carlos M. Saiago, et al. · Linear Algebra and its Applications · 2
The maximum multiplicity of an eigenvalue among Hermitian matrices with a given graph, using “pieceability”
2026 · Charles R. Johnson, António Leal-Duarte, et al. · Linear Algebra and its Applications · 1
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Further generalization of symmetric multiplicity theory to the geometric case over a field
2021 · Isaac Cinzori, Charles R. Johnson, et al. · Special Matrices · 1
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The second maximum multiplicity eigenvalue in a matrix whose graph is a tree
2026 · Charles R. Johnson, Carlos M. Saiago · Linear Algebra and its Applications
Multiplicity lists by diameter: All trees of diameter <7
2025 · Charles R. Johnson, Benjamin Mudrak, et al. · Linear Algebra and its Applications
Fundamental graphs for the maximum multiplicity of an eigenvalue among Hermitian matrices with a given graph
2025 · Charles R. Johnson, António Leal-Duarte, et al. · Advances in Operator Theory
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The Minimum Number of Distinct Eigenvalues
2018 · Charles R. Johnson, Carlos M. Saiago · Cambridge University Press eBooks
Works count: 40
Citation count: 384
H-index: 9
I10-index: 9
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