Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph

摘要

For a nonnegative weakly irreducible tensor A, we give some characterizations of the spectral radius of A, by using the digraph associated with the tensor A. As applications, some bounds on the spectral radius of the adjacency tensor and the signless Laplacian tensor of a k-uniform hypergraph are obtained.