The signless Laplacian spectra of the corona and edge corona of two graphs

DOI10.1080/03081087.2012.670236zbMath1259.05120OpenAlexW2122770103MaRDI QIDQ4908169

Bo Zhou, Shi-Lin Wang

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.670236

zbMATH Keywords

coronaKronecker productsignless Laplacian matrixsignless Laplacian spectrumedge corona

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items (21)

Aα spectra of graphs obtained by two corona operations and Aα cospectral graphs ⋮ Signless Laplacian spectrum of a class of generalized corona and its application ⋮ On the Laplacian spectra of some variants of corona ⋮ Generalized characteristic polynomials of join graphs and their applications ⋮ Coronae graphs and their \(\alpha\)-eigenvalues ⋮ Aα-spectrum of duplicate and corona operations in graphs ⋮ The {1}-inverse of the Laplacian of subdivision-vertex and subdivision-edge coronae with applications ⋮ The normalized Laplacian spectra of the corona and edge corona of two graphs ⋮ Spectra of generalized corona of graphs ⋮ Spectra of the generalized edge corona of graphs ⋮ Spectra of subdivision-vertex join and subdivision-edge join of two graphs ⋮ Normalized Laplacian spectrum of some subdivision-coronas of two regular graphs ⋮ The spectra and the signless Laplacian spectra of graphs with pockets ⋮ On the \(A_{\alpha }\)-spectra of some join graphs ⋮ Adjacency and Laplacian spectra of variants of neighborhood corona of graphs constrained by vertex subsets ⋮ Spectra of graph operations based onR-graph ⋮ On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks ⋮ On the controllability of Corona product network ⋮ Spectra of graphs resulting from various graph operations and products: a survey ⋮ Spectra of \((H_1, H_2)\)-merged subdivision graph of a graph ⋮ Resistance distance in \(H\)-join of graphs \(G_1,G_2,\dots,G_k\)

Cites Work

• Spectra of coronae
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• Signless Laplacian spectral radius and Hamiltonicity
• The Spectrum of the Corona of Two Graphs

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