A graph whose edges are labeled either as positive or negative is called a signed graph.The product operations,i.e.symmetric product,direct product,semi-strong product and strong product,of signed graphs are given,respectively.The adjacency matrices of these product operation signed graphs in tensor form are obtained,and some relations on the eigenvalues of signed graphs on product operations(direct product,semi-strong product,strong product)are also formulated.
signed graphproduct operation of signed graphadjacency matrixadjacency spectrum