Spectral arbitrariness for trees fails spectacularly

Cites Work

Unnamed Item
Unnamed Item
Questions, conjectures, and data about multiplicity lists for trees
The inverse inertia problem for graphs: Cut vertices, trees, and a counterexample
Zero forcing parameters and minimum rank problems
Smith normal form and acyclic matrices
Combinatorially symmetric matrices
Inverse eigenvalue problems for Jacobi matrices
Construction of a Jacobi matrix from spectral data
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.
On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
Geometric Parter-Wiener, etc. theory
The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree
On the construction of a Jacobi matrix from spectral data
Computation of minimal rank and path cover number for certain graphs
A zero forcing technique for bounding sums of eigenvalue multiplicities
The inverse eigenvalue problem of a graph: multiplicities and minors
Rigid linkages and partial zero forcing
The inverse eigenvalue problem for linear trees
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph
On the inverse eigenvalue problem for block graphs
Generalizations of the strong Arnold property and the minimum number of distinct eigenvalues of a graph
Zero forcing sets and the minimum rank of graphs
Minimum-rank matrices with prescribed graph
The degree of the highest common factors of two polynomials.
Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree
Matrix Analysis
The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra
The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree
Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph
Ordered multiplicity inverse eigenvalue problem for graphs on six vertices
Inverse Problems and Zero Forcing for Graphs

This page was built for publication: Spectral arbitrariness for trees fails spectacularly