Positive semidefiniteness of \(D_\alpha\)-matrix on some families of graphs

DOI10.1007/s40314-024-02935-9MaRDI QIDQ6623460

Gui-Xian Tian, Hui-Lu Sun, Shu-Yu Cui

Publication date: 24 October 2024

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

zbMATH Keywords

positive semidefinite\(D_\alpha\)-matrixblock-indifference graphgraphs \(\mathcal{H}_n^l\) and \(KK_n^l\)pineapple graph \(K_p^q\)

Mathematics Subject Classification ID

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

Cites Work

• On the distance Laplacian spectra of graphs
• A note on the positive semidefiniteness of \(A_{\alpha}(G)\)
• Spectra of graphs
• On the \(A_\alpha\)-spectra of graphs
• The generalized distance matrix
• New results on the \(\mathcal{D}_\alpha\)-matrix of connected graphs
• The generalized distance matrix of digraphs
• On the distance \(\alpha \)-spectral radius of a connected graph
• Positive semidefiniteness of \(A_\alpha (G)\) on some families of graphs
• \(A_\alpha\)-spectrum of a firefly graph
• On the eigenvalues and spread of the generalized distance matrix of a graph
• On the multiplicity of an arbitrary \(A_\alpha\)-eigenvalue of a connected graph
• On the second largest eigenvalue of the generalized distance matrix of graphs
• Merging the A-and Q-spectral theories

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