One special double starlike graph is determined by its Laplacian spectrum

DOI10.1016/j.aml.2008.06.012zbMath1225.05173OpenAlexW2023917547MaRDI QIDQ1021857

Yuanping Zhang, Pengli Lu, Xiaogang Liu

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.012

zbMATH Keywords

Laplacian spectrumLaplacian matrixcospectral graphsdouble star graphdouble starlike tree

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (12)

A special class of triple starlike trees characterized by Laplacian spectrum ⋮ Signless Laplacian determination for a family of double starlike trees ⋮ Laplacian spectral characterization of two families of trees ⋮ Classification of graphs by Laplacian eigenvalue distribution and independence number ⋮ Laplacian spectral characterization of some graphs obtained by product operation ⋮ Determination of particular double starlike trees by the Laplacian spectrum ⋮ Laplacian spectral characterization of 3-rose graphs ⋮ Characteristics polynomial of normalized Laplacian for trees ⋮ Laplacian spectral characterization of disjoint union of paths and cycles ⋮ On the \(A_{\alpha}\)-characteristic polynomial of a graph ⋮ Sombor index of trees with at most three branch vertices ⋮ A note on the spectral characterization of dumbbell graphs

Cites Work

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• The \(T\)-shape tree is determined by its Laplacian spectrum
• Spectral characterization of graphs with index at most \(\sqrt {2+\sqrt {5}}\)
• Starlike trees are determined by their Laplacian spectrum
• On the Laplacian eigenvalues of a graph
• A certain polynomial of a graph and graphs with an extremal number of trees
• Which graphs are determined by their spectrum?
• The characteristic polynomial of the Laplacian of graphs in (\(a\), \(b\))-linear classes
• On the spectral characterization of T-shape trees
• Graph \(Z_{n}\) and some graphs related to \(Z_{n}\) are determined by their spectrum

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