The \(A_\alpha\) spectral moments of digraphs with a given dichromatic number

DOI10.1016/j.laa.2023.12.024OpenAlexW4390632479MaRDI QIDQ6149177

Xiuwen Yang, Hajo J. Broersma, Li-Gong Wang

Publication date: 5 February 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2023.12.024

zbMATH Keywords

Laplacian spectral moment\(A_\alpha\) spectral momentdichromatic

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• On the spectral moments of unicyclic graphs with fixed diameter
• Colorings and spectral radius of digraphs
• A note on the positive semidefiniteness of \(A_{\alpha}(G)\)
• On the spectral moment of quasi-trees
• Laplacian energy of a graph
• Eigenvalues and colorings of digraphs
• Graphs determined by their \(A_\alpha\)-spectra
• On the \(A_\alpha\)-spectra of graphs
• The \(A_{\alpha}\) spectral radius characterization of some digraphs
• The dichromatic number of a digraph
• Majorization, degree sequence and \(A_\alpha\)-spectral characterization of graphs
• A Cvetković-type theorem for coloring of digraphs
• Positive semidefiniteness of \(A_\alpha (G)\) on some families of graphs
• On the eigenvalues of \(A_\alpha \)-matrix of graphs
• The \(A_\alpha\) spectral radius and maximum outdegree of irregular digraphs
• Extremal Laplacian energy of directed trees, unicyclic digraphs and bicyclic digraphs
• On the spectral moment of quasi-bicyclic graphs
• The signless Laplacian and distance signless Laplacian spectral radius of digraphs with some given parameters
• Spectral radius of digraphs with given dichromatic number
• Complete subgraphs in connected graphs and its application to spectral moment
• Graph Energy
• Laplacian Energy of Digraphs and a Minimum Laplacian Energy Algorithm
• On the Laplacian energy of a graph
• The circular chromatic number of a digraph
• Merging the A-and Q-spectral theories
• On the generalized adjacency spectral radius of digraphs
• On the A_α spectral radius of digraphs with given parameters
• Sharp bounds for Laplacian spectral moments of digraphs with a fixed dichromatic number

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