Laplacian spectrum characterization of extensions of vertices of wheel graphs and multi-fan graphs

DOI10.1016/j.camwa.2010.07.035zbMath1205.05147OpenAlexW1971214985MaRDI QIDQ623128

Yao Meng, Yuanqing Lin, Jin-Long Shu

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.035

zbMATH Keywords

Laplacian spectrumcospectral graphs

Mathematics Subject Classification ID

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

Related Items (7)

Laplacian spectral characterization of some graph join ⋮ Laplacian spectral characterization of some graphs obtained by product operation ⋮ Laplacian spectral characterization of 3-rose graphs ⋮ Some graphs determined by their (signless) Laplacian spectra ⋮ A family of graphs that are determined by their normalized Laplacian spectra ⋮ On subtree number index of generalized book graphs, fan graphs, and wheel graphs ⋮ Spectral characterizations of the corona of a cycle and two isolated vertices

Cites Work

• The multi-fan graphs are determined by their Laplacian spectra
• A lower bound for the Laplacian eigenvalues of a graph-proof of a conjecture by Guo
• Which wheel graphs are determined by their Laplacian spectra?
• Which graphs are determined by their spectrum?
• The Laplacian spectrum of a graph
• Graph \(Z_{n}\) and some graphs related to \(Z_{n}\) are determined by their spectrum
• A note on the second largest eigenvalue of the laplacian matrix of a graph^∗
• Eigenvalues of the Laplacian of a graph^∗
• Unnamed Item

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