Maximizing the signless Laplacian spectral radius of graphs with given diameter or cut vertices

DOI10.1080/03081087.2010.499363zbMath1222.05182OpenAlexW2097229212MaRDI QIDQ3090721

Jianfeng Wang, Qiong Xiang Huang

Publication date: 1 September 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.499363

zbMATH Keywords

spectral radiusdiameteradjacency matrixsignless Laplaciancut vertices

Mathematics Subject Classification ID

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

Related Items (6)

Maximizing the \(A_\alpha \)-spectral radius of graphs with given size and diameter ⋮ Maximizing the signless Laplacian spectral radius of \(k\)-connected graphs with given diameter ⋮ Maximizing the spectral radius of \(k\)-connected graphs with given diameter ⋮ The signless \(p\)-Laplacian spectral radius of graphs with given degree sequences ⋮ On the signless Laplacian index of unicyclic graphs with fixed diameter ⋮ On the \(A_\alpha\)-spectral radius of a graph

Cites Work

• Spectral radii of graphs with given chromatic number
• Signless Laplacians of finite graphs
• Laplacian spectral radius of trees with given maximum degree
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• Graphs with given diameter maximizing the spectral radius
• Maximizing the Laplacian spectral radii of graphs with given diameter
• On graphs whose signless Laplacian index does not exceed 4.5
• On the spectral radius of (0,1)-matrices
• On the maximal index of graphs with a prescribed number of edges
• On the maximal index of connected graphs
• On the spectral radius of graphs with cut vertices
• On the spectral radius of graphs with cut edges
• The Laplacian spectral radius of some bipartite graphs
• On bags and bugs
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• Eigenvalue bounds for the signless laplacian
• On the mean square of the Riemann zeta-function in short intervals
• On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones

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