Some properties of the Laplace and normalized Laplace spectra of uniform hypergraphs

We also study the signless normalized Laplace spectra and the signless normalized Laplace H-spectra of hypergraphs. We give structural characterizations of the hypergraphs having the same normalized Laplace spectrum and signless normalized Laplace spectrum, or having the same normalized Laplace H-spectrum and signless normalized Laplace H-spectrum, or both. Finally, we determine the first two k-uniform supertrees of order n with the largest Laplace spectral radii, and also determine the unique k-uniform hypertree of order n with the smallest Laplace spectral radii, in the case when k is even.