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  • Normalized Laplacian polyno...
    Normalized Laplacian polynomial of n-Cayley graphs
    Arezoomand, Majid

    Linear & multilinear algebra, 07/2022, Volume: 70, Issue: 11
    Journal Article

    Let G be a finite group and Γ be a (di)graph. Then Γ is called an n-Cayley (di)graph over G if admits a semiregular subgroup isomorphic to G with n orbits on . In this paper, we determine the normalized Laplacian polynomial of n-Cayley (di)graphs over a group G in terms of irreducible representations of G. We give exact formulas for the normalized Laplacian eigenvalues of 2-Cayley graphs over abelian groups. Among other results, as an application, we prove that the degree-Kirchhoff index of the n-sunlet graph is .

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