Starlike trees whose maximum degree exceed 4 are determined by their Q-spectra

DOI10.1016/j.laa.2011.06.028zbMath1242.05160OpenAlexW2118974545MaRDI QIDQ648934

Jiang Zhou, Changjiang Bu

Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.028

zbMATH Keywords

Signless Laplacian matrixQ-spectrumStarlike tree

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (15)

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 some graph join ⋮ The spectral characterization of wind-wheel graphs ⋮ Laplacian spectral characterization of dumbbell graphs and theta graphs ⋮ Laplacian spectral characterization of some graphs obtained by product operation ⋮ Graphs whose second largest signless Laplacian eigenvalue does not exceed \(2+\sqrt{2}\) ⋮ Unnamed Item ⋮ Laplacian spectral characterization of (broken) dandelion graphs ⋮ The signless Laplacian spectral radius of some strongly connected digraphs ⋮ Spectral characterizations of the corona of a cycle and two isolated vertices ⋮ The kite graph is determined by its adjacency spectrum ⋮ Spectral characterization of line graphs of starlike trees ⋮ Vertex-degree-based topological indices over starlike trees ⋮ Main Q-eigenvalues and generalized Q-cospectrality of graphs

Cites Work

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• On a signless Laplacian spectral characterization of \(T\)-shape trees
• The \(T\)-shape tree is determined by its Laplacian spectrum
• Starlike trees are determined by their Laplacian spectrum
• Signless Laplacians of finite graphs
• Graphs cospectral with starlike trees
• On graphs whose signless Laplacian index does not exceed 4.5
• On the spectral characterization of T-shape trees
• Starlike trees with maximum degree 4 are determined by their signless Laplacian spectra
• No starlike trees are cospectral

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