On the signless Laplacian spectral radius of graphs with cut vertices

DOI10.1016/j.laa.2010.04.041zbMath1215.05108OpenAlexW1967678987MaRDI QIDQ984858

Bao-Xuan Zhu

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.041

zbMATH Keywords

spectral radiusgraphssignless Laplacian matrixcut vertices

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

On the signless Laplacian index of cacti with a given number of pendant vertices ⋮ The least eigenvalue of the signless Laplacian of the complements of trees ⋮ Bounds on the eigenvalues of graphs with cut vertices or edges ⋮ On the signless Laplacian index of unicyclic graphs with fixed diameter ⋮ Bound on the least eigenvalue of a graph with cut vertices ⋮ A note on the \(A_{\alpha}\)-spectral radius of graphs ⋮ On the minimal \(\mathcal{D}_\alpha -\) spectral radius of graphs subject to fixed connectivity ⋮ The second least eigenvalue of the signless Laplacian of the complements of trees

Cites Work

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• Signless Laplacians of finite graphs
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph
• On the spectral radius of graphs with cut vertices
• On the spectral radius of graphs with cut edges
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• The Laplacian Spectrum of a Graph
• Eigenvalue bounds for the signless laplacian
• Towards a spectral theory of graphs based on the signless Laplacian, I
• On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones

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