Bethe graphs attached to the vertices of a connected graph - a spectral approach

DOI10.1080/03081087.2016.1211081zbMath1360.05093OpenAlexW2495955037MaRDI QIDQ2979466

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Publication date: 25 April 2017

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

Full work available at URL: http://hdl.handle.net/10773/16233

zbMATH Keywords

adjacency matrixLaplacian matrixsignless Laplacian matrixgraph operationsgraph spectra

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Graph operations (line graphs, products, etc.) (05C76)

Related Items (4)

Applications of Estrada indices and energy to a family of compound graphs ⋮ On the spectrum of finite, rooted homogeneous trees ⋮ Spectra of \(M\)-edge rooted product of graphs ⋮ Spectra of M-rooted product of graphs

Cites Work

• On the spectra of some graphs like weighted rooted trees
• Computing the Laplacian spectra of some graphs
• Graph Energy
• Spectra of weighted rooted graphs having prescribed subgraphs at some levels
• Spectra of weighted compound graphs of generalized Bethe trees
• Graph concatenation for quantum codes
• Copies of a rooted weighted graph attached to an arbitrary weighted graph and applications
• Spectral characterization of some weighted rooted graphs with cliques

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