Equitable partition theorem of tensors and spectrum of generalized power hypergraphs

In this paper, we present an equitable partition theorem of tensors, which gives the relations between H-eigenvalues of a tensor and its quotient equitable tensor and extends the equitable partitions of graphs to hypergraphs. Furthermore, with the aid of it, some properties and H-eigenvalues of the generalized power hypergraphs are obtained, which extends some known results, including some results of Yuan, Qi and Shao [20].