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

DOI10.1016/j.aml.2010.09.013zbMath1203.05097OpenAlexW2041807393MaRDI QIDQ619812

Muhuo Liu, Bo Lian Liu

Publication date: 18 January 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.09.013

zbMATH Keywords

Laplacian eigenvaluesLaplacian matrixdegree sequence

Mathematics Subject Classification ID

Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07)

Related Items (7)

Some Observations on the Laplacian-Energy-Like Invariant of Trees ⋮ The extremal graphs of some topological indices with given vertex \(k\)-partiteness ⋮ Laplacian spectral moment and Laplacian Estrada index of random graphs ⋮ Sum of powers of the Laplacian eigenvalues and the Kirchhoff index of a graph ⋮ A majorization method for localizing graph topological indices ⋮ On sum of powers of the Laplacian eigenvalues 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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• More on ``Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• On unicycle graphs with maximum and minimum zeroth-order general Randić index
• Laplacian matrices of graphs: A survey
• Maximal value of the zeroth-order Randić index
• On the Laplacian energy of a graph
• Eigenvalues and the degree sequences of graphs
• On sum of powers of the Laplacian eigenvalues of graphs

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