| The Parter--Wiener Theorem: Refinement and Generalization CR Johnson, AL Duarte, CM Saiago SIAM Journal on Matrix Analysis and Applications 25 (2), 352-361, 2003 | 117 | 2003 |
| 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 CR Johnson, AL Duarte, CM Saiago Linear Algebra and its Applications 373, 311-330, 2003 | 76 | 2003 |
| On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph CR Johnson, AL Duarte, CM Saiago, BD Sutton, AJ Witt Linear Algebra and its Applications 363, 147-159, 2003 | 52 | 2003 |
| Eigenvalues, multiplicities and graphs CR Johnson, CM Saiago Cambridge University Press, 2018 | 41 | 2018 |
| Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix C Johnson, C Saiago The Electronic Journal of Linear Algebra 9, 27-31, 2002 | 36 | 2002 |
| Álgebra linear I Cabral, I Cabral, C Perdigão, C Saiago Escolar editora, 2009 | 16 | 2009 |
| Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree CR Johnson, CM Saiago Linear and multilinear algebra 56 (4), 357-380, 2008 | 15 | 2008 |
| The structure of matrices with a maximum multiplicity eigenvalue CR Johnson, AL Duarte, CM Saiago Linear algebra and its applications 429 (4), 875-886, 2008 | 13 | 2008 |
| Diameter minimal trees CR Johnson, CM Saiago Linear and multilinear algebra 64 (3), 557-571, 2016 | 11 | 2016 |
| Eigenvalues, multiplicities and graphs CR Johnson, AL Duarte, CM Saiago, D Sher Contemporary Mathematics 419, 167, 2006 | 11 | 2006 |
| Geometric Parter–Wiener, etc. theory CR Johnson, CM Saiago Linear Algebra and its Applications 537, 332-347, 2018 | 9 | 2018 |
| The possible multiplicities of the eigenvalues of an Hermitian matrix whose graph is a tree CM Saiago, Universidade Nova de Lisboa | 8 | 2003 |
| Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field CR Johnson, CM Saiago, K Toyonaga Linear and Multilinear Algebra 66 (11), 2168-2182, 2018 | 7 | 2018 |
| Questions, conjectures, and data about multiplicity lists for trees SP Buckley, JG Corliss, CR Johnson, CA Lombardia, CM Saiago Linear Algebra and its Applications 511, 72-109, 2016 | 7 | 2016 |
| The change in eigenvalue multiplicity associated with perturbation of a diagonal entry CR Johnson, A Leal-Duarte, CM Saiago Linear and Multilinear Algebra 60 (5), 525-532, 2012 | 7 | 2012 |
| Multiplicity lists for the eigenvalues of symmetric matrices with a given graph CR Johnson, AL Duarte, CM Saiago Handbook of Linear Algebra, 34-1-34-16, 2006 | 7 | 2006 |
| Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments CM Saiago Special Matrices 7 (1), 316-326, 2019 | 6 | 2019 |
| The trees for which maximum multiplicity implies the simplicity of other eigenvalues CR Johnson, CM Saiago Discrete mathematics 306 (23), 3130-3135, 2006 | 5 | 2006 |
| The change in multiplicity of an eigenvalue due to adding or removing edges CR Johnson, CM Saiago, K Toyonaga Linear Algebra and its Applications 560, 86-99, 2019 | 4 | 2019 |
| The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree CR Johnson, A Leal-Duarte, CM Saiago Linear Algebra and its Applications 559, 1-10, 2018 | 3 | 2018 |
Brian D. SuttonRandolph-Macon CollegeVerified email at rmc.edu
