Signless Laplacian spectral characterization of the cones over some regular graphs

DOI10.1016/j.laa.2011.12.035zbMath1241.05069OpenAlexW2052448655MaRDI QIDQ417497

Jiang Zhou, Changjiang Bu

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.035

zbMATH Keywords

coneregular graphsignless Laplacian spectrumcospectral graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (15)

Minimum algebraic connectivity of graphs whose complements are bicyclic with two cycles ⋮ Signless Laplacian spectral characterization of some disjoint union of graphs ⋮ 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 dumbbell graphs and theta graphs ⋮ On the signless Laplacian spectral determination of the join of regular graphs ⋮ Signless Laplacian determinations of some graphs with independent edges ⋮ THE SPECTRAL DETERMINATIONS OF THE JOIN OF TWO FRIENDSHIP GRAPHS ⋮ Laplacian spectral characterization of (broken) dandelion graphs ⋮ The spectral characterizations of the connected multicone graphs Kw ▽ LHS and Kw ▽ LGQ(3,9) ⋮ Graphs determined by signless Laplacian spectra ⋮ Spectral characterizations of the corona of a cycle and two isolated vertices ⋮ Unnamed Item ⋮ Spectral characterization of line graphs of starlike trees ⋮ Which multicone graphs are determined by their signless Laplacian spectrum? (The proof of a conjecture)

Cites Work

• Unnamed Item
• Starlike trees are determined by their Laplacian spectrum
• Spectral characterizations of lollipop graphs
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• On the spectral characterizations of \(\infty \)-graphs
• The lollipop graph is determined by its spectrum
• The lollipop graph is determined by its \(Q\)-spectrum
• A note on the spectral characterization of \(\theta \)-graphs
• On the spectral characterization of T-shape trees

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