The \(A_\alpha\)-spectral radius of graphs with a prescribed number of edges for \(\frac{1}{2}\leq\alpha\leq 1\)

DOI10.1016/j.laa.2021.06.015OpenAlexW3179887356MaRDI QIDQ1979379

Rui Qin, Dan Li

Publication date: 2 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.06.015

zbMATH Keywords

sizechromatic numberclique number\(A_\alpha\)-spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (11)

On the \(A_\alpha \)-spectral radius of graphs with given size and diameter ⋮ On the \(A_\alpha \)-spectral radius of graphs with given size ⋮ Maximizing the signless Laplacian spectral radius of minimally 3-connected graphs with given size ⋮ The \(A_{\alpha}\)-spectral radius of bicyclic graphs with given degree sequences ⋮ On the maximal α-spectral radius of graphs with given matching number ⋮ Some graphs determined by their \(A_\alpha\)-spectra ⋮ Graphs of fixed order and size with maximal \(A_\alpha\)-index ⋮ Connected graphs of fixed order and size with maximal \(A_\alpha \)-index: the one-dominating-vertex case ⋮ Some extremal problems on \(A_\alpha \)-spectral radius of graphs with given size ⋮ Maxima of the \(A_\alpha\)-index of graphs with given size and domination number ⋮ Unnamed Item

Cites Work

• On the \(A_{\alpha}\)-spectra of trees
• On the spectral radius of (0,1)-matrices
• On the maximal index of graphs with a prescribed number of edges
• On the \(A_\alpha\)-spectral radius of a graph
• A note on the \(A_{\alpha}\)-spectral radius of graphs
• A bound on the spectral radius of graphs with \(e\) edges
• The signless Laplacian spectral radius of graphs with a prescribed number of edges
• On the second largest \(A_{\alpha}\)-eigenvalues of graphs
• \(a_\alpha \)-spectral radius of the second power of a graph
• The \(A_\alpha \)-spectral radius of trees and unicyclic graphs with given degree sequence
• Merging the A-and Q-spectral theories
• Unnamed Item

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