On the (signless) Laplacian spectral characterization of the line graphs of lollipop graphs

DOI10.1016/j.laa.2012.12.015zbMath1279.05063OpenAlexW2166546766MaRDI QIDQ393372

Guangquan Guo, Guo-Ping Wang

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.015

zbMATH Keywords

Laplacian spectrumcospectral graphslollipop graphsignless Laplacian spectrum

Mathematics Subject Classification ID

Graph operations (line graphs, products, etc.) (05C76)

Related Items (4)

Laplacian spectral characterization of some graph join ⋮ Signless Laplacian spectral characterization of line graphs ofT-shape trees ⋮ Graphs determined by signless Laplacian spectra ⋮ Spectral characterizations of signed lollipop graphs

Cites Work

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• The lollipop graph is determined by its \(Q\)-spectrum
• Which graphs are determined by their spectrum?
• The characteristic polynomial of the Laplacian of graphs in (\(a\), \(b\))-linear classes
• Graphs with maximal signless Laplacian spectral radius
• The line graphs of lollipop graphs are determined by their spectra
• On the second largest Laplacian eigenvalue of trees
• Eigenvalue bounds for the signless laplacian
• Towards a spectral theory of graphs based on the signless Laplacian, I
• The Laplacian Spectrum of a Graph II

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