The maximum multiplicity of the largest \(k\)-th eigenvalue in a matrix whose graph is acyclic or unicyclic
From MaRDI portal
Publication:2317668
DOI10.1016/j.disc.2019.06.030zbMath1417.05116OpenAlexW2954485064MaRDI QIDQ2317668
Publication date: 12 August 2019
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2019.06.030
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Cites Work
- Unnamed Item
- Spectral multiplicity and splitting results for a class of qualitative matrices
- The inverse inertia problem for graphs: Cut vertices, trees, and a counterexample
- On the minimum rank of the join of graphs and decomposable graphs
- The minimum rank of symmetric matrices described by a graph: a survey
- Smith normal form and acyclic matrices
- Construction of acyclic matrices from spectral data
- On the construction of a Jacobi matrix from mixed given data
- Inverse eigenvalue problems for Jacobi matrices
- Computation of minimal rank and path cover number for certain graphs
- Zero forcing sets and the minimum rank of graphs
- Minimum-rank matrices with prescribed graph
- Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
- On the minimum semidefinite rank of a simple graph
- Using variants of zero forcing to bound the inertia set of a graph
- On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph
- The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
- The Parter--Wiener Theorem: Refinement and Generalization
- On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices
- Spectral graph theory and the inverse eigenvalue problem of a graph
- On the Eigenvalues and Eigenvectors of a Class of Matrices
This page was built for publication: The maximum multiplicity of the largest \(k\)-th eigenvalue in a matrix whose graph is acyclic or unicyclic