Ky Fan theorem applied to Randić energy

DOI10.1016/j.laa.2014.06.051zbMath1297.05147OpenAlexW2062232245MaRDI QIDQ401164

Ivan Gutman, María Robbiano, Enide A. Martins, Bernardo San Martín Rebolledo

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.051

zbMATH Keywords

Ky Fan theoremRandić matrixnormalized Laplacian matrixRandić energy

Mathematics Subject Classification ID

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

Related Items

Bounds on Nirmala energy of graphs ⋮ On edge-Zagreb spectral radius and edge-Zagreb energy of graphs ⋮ Upper bound on Randić energy of some graphs

Cites Work

• Energy of generalized line graphs
• The energy of graphs and matrices
• Applications of a theorem by Ky Fan in the theory of graph energy
• On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs
• Laplacian matrices of graphs: A survey
• A spectral approach to the Randić index
• Eigenvalues of a \(H\)-generalized join graph operation constrained by vertex subsets
• On Randić energy
• Graph energy change due to edge deletion
• Graph Energy
• On the Randi\'{c} index and conditional parameters of a graph
• Singular value inequality and graph energy change
• Randi\'c energy and Randi\'c eigenvalues
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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