A note on sum of powers of the Laplacian eigenvalues of bipartite graphs

DOI10.1016/j.laa.2008.12.030zbMath1165.05020OpenAlexW2008751510MaRDI QIDQ1014510

Ting-Zhu Huang, Bo Zhou, Gui-Xian Tian

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.030

zbMATH Keywords

bipartite graphLaplacian eigenvaluesLaplacian matrix

Mathematics Subject Classification ID

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

Related Items (15)

Bounds for the (Laplacian) spectral radius of graphs with parameter α ⋮ The extremal graphs of some topological indices with given vertex \(k\)-partiteness ⋮ A relation between the Laplacian and signless Laplacian eigenvalues of a graph ⋮ Sum of powers of the Laplacian eigenvalues and the Kirchhoff index of a graph ⋮ The spectrum and the signless Laplacian spectrum of coronae ⋮ Bounding the sum of powers of the Laplacian eigenvalues of graphs ⋮ Coulson-type integral formulas for the sum of powers of absolute values of roots of polynomials ⋮ The spectra and the signless Laplacian spectra of graphs with pockets ⋮ Bounds for the extreme eigenvalues of the Laplacian and signless Laplacian of a graph ⋮ On sum of powers of the Laplacian eigenvalues of graphs ⋮ On the distance signless Laplacian spectrum of graphs ⋮ On the sum of powers of Laplacian eigenvalues of bipartite graphs ⋮ On the sum of powers of Laplacian eigenvalues of bipartite graphs ⋮ Bounds for the Laplacian spectral radius of graphs ⋮ Characterization of extremal graphs from Laplacian eigenvalues and the sum of powers of the Laplacian eigenvalues of graphs

Cites Work

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• Laplacian energy of a graph
• Laplacian graph eigenvectors
• Laplacian matrices of graphs: A survey
• Upper and lower bounds for the energy of bipartite graphs.
• On the spectral radius of graphs
• The Laplacian Spectrum of a Graph
• A connection between ordinary and Laplacian spectra of bipartite graphs
• On the Laplacian energy of a graph
• On sum of powers of the Laplacian eigenvalues of graphs

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