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

[1]  Charles R. Johnson,et al.  The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value , 2017 .

[2]  Charles R. Johnson,et al.  Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree , 2014, Discret. Math..

[3]  Charles R. Johnson,et al.  The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph , 2011, Discret. Math..

[4]  Charles R. Johnson,et al.  The structure of matrices with a maximum multiplicity eigenvalue , 2008 .

[5]  Charles R. Johnson,et al.  Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components , 2005, SIAM J. Matrix Anal. Appl..

[6]  Charles R. Johnson,et al.  On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph , 2003 .

[7]  Charles R. Johnson,et al.  The Parter-Wiener Theorem: Refinement and Generalization , 2003, SIAM J. Matrix Anal. Appl..

[8]  Charles R. Johnson,et al.  On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree , 2002 .

[9]  Charles R. Johnson,et al.  The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree , 1999 .

[10]  Charles R. Johnson,et al.  Matrix analysis , 1985 .

[11]  Gerry Wiener Spectral multiplicity and splitting results for a class of qualitative matrices , 1984 .

[12]  S. Parter On the Eigenvalues and Eigenvectors of a Class of Matrices , 1960 .