On the \(A_\alpha\)-spectral radius of graphs without linear forests

DOI10.1016/j.amc.2023.128005arXiv2304.03046WikidataQ121458306 ScholiaQ121458306MaRDI QIDQ6160595

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Publication date: 26 June 2023

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

Full work available at URL: https://arxiv.org/abs/2304.03046

zbMATH Keywords

extremal graphslinear forests\(A_\alpha\)-spectral radius

Mathematics Subject Classification ID

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

Cites Work

• On the Turán number of forests
• Graphs determined by their \(A_\alpha\)-spectra
• The extremal \(\alpha \)-index of outerplanar and planar graphs
• The extremal \(\alpha \)-index of graphs with no 4-cycle and 5-cycle
• Generalized Turán number of even linear forests
• The sharp upper bounds on the \(A_{\alpha}\)-spectral radius of \(C_4\)-free graphs and Halin graphs
• Generalized Turán number for linear forests
• The signless Laplacian spectral radius of graphs with forbidding linear forests
• \(a_\alpha \)-spectral radius of the second power of a graph
• The Turán number of disjoint copies of paths
• Some Nordhaus-Gaddum type results of \(A_\alpha \)-eigenvalues of weighted graphs
• Spectral extremal results on the \(\alpha\)-index of graphs without minors and star forests
• Turán Numbers of Multiple Paths and Equibipartite Forests
• On maximal paths and circuits of graphs
• Merging the A-and Q-spectral theories

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