Some upper bounds on the eigenvalues of uniform hypergraphs

Let HH be a uniform hypergraph. Let A(H)A(H) and Q(H)Q(H) be the adjacency tensor and the signless Laplacian tensor of HH, respectively. In this note we prove several bounds for the spectral radius of A(H)A(H) and Q(H)Q(H) in terms of the degrees of vertices of HH.