Abstract
A graph $$\varGamma $$ is called n-Cayley graph over a group G if $$\mathrm{Aut}(\varGamma )$$ has a semiregular subgroup isomorphic to G with n orbits (of equal size). In this paper, we give a decomposition of the Laplacian and signless Laplacian polynomials of n-Cayley graphs in terms of irreducible representations of G. Also, we construct several families of graphs with integral Laplacian and signless Laplacian spectrum.
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