Eigenvalues of the adjacency tensor on products of hypergraphs

We consider the generalized notions of Cartesian and tensor productson m-uniform hypergraphs. The adjacency tensor is analogousto the adjacency matrix and two different notions of eigenvalues of theadjacency tensor on the products of hypergraphs are studied. The eigenvaluesand E-eigenvalues of the adjacency tensor of the Cartesian andtensor products of two hypergraphs in relation to the E-eigenvalues andeigenvalues of the adjacency tensor of the factors are considered.