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- W2788920287 abstract "In this article, various aspects of Laplacian spectra of power graphs of finite cyclic, dicyclic and finite $p$-groups are studied. Algebraic connectivity of power graphs of the above groups are considered and determined completely for that of finite $p$-groups. Further, the multiplicity of Laplacian spectral radius of power graphs of the above groups are studied and determined completely for that of dicyclic and finite $p$-groups. The equality of the vertex connectivity and the algebraic connectivity is characterized for power graphs of all of the above groups. Orders of dicyclic groups, for which their power graphs are Laplacian integral, are determined. Moreover, it is proved that the notion of equality of the vertex connectivity and the algebraic connectivity and the notion of Laplacian integral are equivalent for power graphs of dicyclic groups. All possible values of Laplacian eigenvalues are obtained for power graphs of finite $p$-groups. This shows that power graphs of finite $p$-groups are Laplacian integral." @default.
- W2788920287 created "2018-03-06" @default.
- W2788920287 creator A5051751977 @default.
- W2788920287 date "2017-06-08" @default.
- W2788920287 modified "2023-09-27" @default.
- W2788920287 title "Laplacian spectra of power graphs of certain finite groups" @default.
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