Signless Laplacian and normalized Laplacian on the H-join operation of graphs

DOI10.1142/S1793830914500463zbMath1298.05215OpenAlexW2085591826MaRDI QIDQ2920896

Yuan-Yuan Lou, Baofeng Wu, Chang-Xiang He

Publication date: 29 September 2014

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830914500463

zbMATH Keywords

spectrumnormalized Laplaciansignless Laplacian\(H\)-join

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph operations (line graphs, products, etc.) (05C76)

Related Items (20)

Perfect codes and universal adjacency spectra of commuting graphs of finite groups ⋮ On normalized Laplacian spectrum of zero divisor graphs of commutative ring ℤn ⋮ On the Aα-spectrum of joined union of digraphs ⋮ Universal adjacency spectrum of zero divisor graph on the ring and its complement ⋮ On signless Laplacian spectrum of the zero divisor graphs of the ring $\mathbb{Z}_{n}$ ⋮ On the normalized Laplacian spectrum of the comaximal graphs ⋮ Spectral properties of the commuting graphs of certain groups ⋮ On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs ⋮ The spectra of signed graphs obtained by \(\dot{H}\)-(generalized) join operation ⋮ On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on the sum of the largest signless Laplacian eigenvalues ⋮ Balancedness and spectra of signed graphs obtained by \(\dot{H}\)-join operation ⋮ On Randić spectrum of zero divisor graphs of commutative ring $mathbb{Z}_{n} $ ⋮ The characteristic polynomial of a generalized join graph ⋮ A generalization of Fiedler's lemma and the spectra of \(H\)-join of graphs ⋮ Spectra of graphs resulting from various graph operations and products: a survey ⋮ On distance integral graphs ⋮ Distance Laplacian spectra of various graph operations and its application to graphs on algebraic structures

Cites Work

• Towards a spectral theory of graphs based on the signless Laplacian. II.
• Infinite families of \(Q\)-integral graphs
• Spectra of graphs obtained by a generalization of the join graph operation
• Towards a spectral theory of graphs based on the signless Laplacian, I
• Unnamed Item

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