The Nordhaus-Gaddum type inequalities of \(A_\alpha \)-matrix

DOI10.1016/j.amc.2019.124716zbMath1433.05197OpenAlexW2972360156MaRDI QIDQ2284327

Jie Xue, Xing Huang, Huiqiu Lin

Publication date: 14 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124716

zbMATH Keywords

spectral radiusNordhaus-Gaddum\(A_\alpha \)-matrix

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (max. 100)

Unnamed Item ⋮ On the Aα-spectral radius of connected graphs ⋮ On the \(A_\sigma\)-spectral radii of graphs with some given parameters ⋮ Some Nordhaus-Gaddum type results of \(A_\alpha \)-eigenvalues of weighted graphs ⋮ Aα-spectrum of duplicate and corona operations in graphs ⋮ Graphs of fixed order and size with maximal \(A_\alpha\)-index ⋮ Sharp bounds on the \(A_{\alpha}\)-index of graphs in terms of the independence number ⋮ On the Sα-matrix of graphs ⋮ The \(A_\alpha\)-spread of a graph ⋮ Some spectral inequalities for connected bipartite graphs with maximum \(A_\alpha\)-index ⋮ Unnamed Item ⋮ An arithmetic criterion for graphs being determined by their generalized \(A_\alpha \)-spectra ⋮ Some bounds on the A_α-index of connected graphs with fixed order and size

Cites Work

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