On the Seidel integral complete multipartite graphs

DOI10.1007/s10255-012-0126-xzbMath1254.05108OpenAlexW2022570983MaRDI QIDQ692718

Hai-xing Zhao, Liang Wei, Sheng-mei Lv

Publication date: 6 December 2012

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-012-0126-x

zbMATH Keywords

adjacency matrixcomplete multipartite graphsSeidel matrix\(S\)-integral\(S\)-polynomialintegral eigenvalues

Mathematics Subject Classification ID

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

Related Items (6)

Seidel spectrum of threshold graphs ⋮ Some properties of eigenvalues of the Seidel matrix ⋮ The Seidel spectrum of two variants of join operations ⋮ Complete multipartite graphs that are determined, up to switching, by their Seidel spectrum ⋮ Signed complete graphs with maximum index ⋮ Seidel integral complete \(r\)-partite graphs

Cites Work

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• Q-integral graphs with edge-degrees at most five
• Degree maximal graphs are Laplacian integral
• Research problems from the Aveiro workshop on graph spectra
• The Laplacian Spectrum of a Graph II
• A survey on integral graphs
• Integral complete multipartite graphs

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