Singularity of Hermitian (quasi-)Laplacian matrix of mixed graphs

DOI10.1016/j.amc.2016.08.032zbMath1411.05176OpenAlexW2511355758MaRDI QIDQ1737160

Guihai Yu, Xin Liu, Hui Qu

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.032

zbMATH Keywords

mixed graphsHermitian adjacency matrixHermitian (quasi-)Laplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (13)

Principal Minors of Hermitian (Quasi-)Laplacian Matrix of Second Kind for Mixed Graphs ⋮ More on minors of Hermitian (quasi-)Laplacian matrix of the second kind for mixed graphs ⋮ Another estimation of Laplacian spectrum of the Kronecker product of graphs ⋮ Hermitian normalized Laplacian matrix for directed networks ⋮ Minors of Hermitian (quasi-) Laplacian matrix of a mixed graph ⋮ More on spectral analysis of signed networks ⋮ Network entropies based on independent sets and matchings ⋮ Principal minor version of matrix-tree theorem for mixed graphs ⋮ Hermitian-Randić matrix and Hermitian-Randić energy of mixed graphs ⋮ On the characteristic polynomials and \(H\)-ranks of the weighted mixed graphs ⋮ A comparative analysis of new graph distance measures and graph edit distance ⋮ Analyzing lattice networks through substructures ⋮ Vertex-based and edge-based centroids of graphs

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