%0 Journal Article %T Eigenvalues of the adjacency tensor on products of hypergraphs %A K. J. Pearson %A Tan Zhang %J International Journal of Contemporary Mathematical Sciences %D 2013 %I %X 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. %K hypergraph %K adjacency tensor %K spectral theory of hypergraphs %U http://www.m-hikari.com/ijcms/ijcms-2013/1-4-2013/pearsonIJCMS1-4-2013.pdf