Ordering graphs with fixed size and girth by their \(A_{\alpha}\)-spectral radius

DOI10.11948/20240091MaRDI QIDQ6655214

Hongzhang Chen, Yirong Zheng, Long Jin

Publication date: 20 December 2024

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

zbMATH Keywords

sizeordergirth\(A_\alpha \)-spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

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• Recent results in the theory of graph spectra
• On the \(A_\alpha\)-spectral radius of a graph
• On the spectrum of an equitable quotient matrix and its application
• Maxima of \(L\)-index and \(Q\)-index: graphs with given size and diameter
• Signless Laplacian spectral radius of graphs without short cycles or long cycles
• Maximizing the \(A_\alpha \)-spectral radius of graphs with given size and diameter
• Ordering the maxima of \(L\)-index and \(Q\)-index: graphs with given size and diameter
• Bounds for the largest and the smallest \(A_\alpha\) eigenvalues of a graph in terms of vertex degrees
• The \(A_\alpha \)-spectral radius of trees and unicyclic graphs with given degree sequence
• Merging the A-and Q-spectral theories
• On the \(A_\alpha \)-spectral radius of graphs with given size
• Ordering \(Q\)-indices of graphs: given size and circumference
• Some extremal problems on \(A_\alpha \)-spectral radius of graphs with given size
• Spectral Turán problems for intersecting even cycles
• Bounding the \(A_\alpha\)-spectral radius of \(k\)-connected irregular graphs

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