\(Q\)-integral complete \(r\)-partite graphs

DOI10.1016/J.LAA.2012.09.009zbMath1257.05091OpenAlexW2074460985MaRDI QIDQ1931721

Li-Gong Wang, Ke Li, Guopeng Zhao

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.009

zbMATH Keywords

signless Laplacian matrix\(Q\)-integralgraph spectrumcomplete \(r\)-partite graph

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

On the Laplacian and signless Laplacian polynomials of graphs with semiregular automorphisms ⋮ Remarks on \(Q\)-integral complete multipartite graphs ⋮ Q-integral unicyclic, bicyclic and tricyclic graphs ⋮ \(Q\)-integral graphs with at most two vertices of degree greater than or equal to three ⋮ On \(Q\)-integral graphs with edge-degrees at most six ⋮ On the Laplacian integral tricyclic graphs ⋮ On \(Q\)-integral graphs with \(Q\)-spectral radius 6

Cites Work

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• Signless Laplacian spectral radii of graphs with given chromatic number
• Signless Laplacians of finite graphs
• Q-integral graphs with edge-degrees at most five
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• Infinite families of \(Q\)-integral graphs
• Integral complete \(r\)-partite graphs
• On Q-spectral integral variation
• On Q-integral (3,s)-semiregular bipartite graphs
• A survey on integral graphs
• Towards a spectral theory of graphs based on the signless Laplacian, III

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