Signless Laplacian spectral radius of graphs without short cycles or long cycles

DOI10.1016/J.LAA.2022.03.011zbMath1487.05155OpenAlexW4220657133MaRDI QIDQ2132508

Wenwen Chen, Bing Wang, Ming-qing Zhai

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.03.011

zbMATH Keywords

girthextremal graphsignless Laplacian spectral radius

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (12)

On the \(A_\alpha \)-spectral radius of graphs with given size ⋮ Ordering \(Q\)-indices of graphs: given size and circumference ⋮ Maxima of the \(Q\)-spectral radius of \(C_3 (C_4)\)-free graphs with given size and minimum degree \(\delta \geq 2\) ⋮ Maximizing the signless Laplacian spectral radius of minimally 3-connected graphs with given size ⋮ Some extremal problems on \(A_\alpha \)-spectral radius of graphs with given size ⋮ An \(A_{\alpha}\)-spectral Erdős-Sós theorem ⋮ Maxima of the \(A_\alpha\)-index of graphs with given size and domination number ⋮ Stability of Woodall's theorem and spectral conditions for large cycles ⋮ Answers to Gould's question concerning the existence of chorded cycles ⋮ A note on the signless Laplacian spectral ordering of graphs with given size ⋮ Maxima of the Q ( L )-index of (minimally) 2-edge-connected graphs with given size ⋮ Ordering graphs with fixed size and girth by their \(A_{\alpha}\)-spectral radius

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