Degree distance of tensor product and strong product of graphs

Abstract

In this paper, we determine the degree distance of G x Kr0,r1,...,rn-1 and G ? Kr0,r1,...,rn-1, where x and ? denote the tensor product and strong product of graphs, respectively, and Kr0,r1,...,rn-1 denotes the complete multipartite graph with partite sets V0,V1,...,Vn-1 where |Vj| = rj, 0 ? j ? n - 1 and n ? 3. Using the formulae obtained here, we have obtained the exact value of the degree distance of some classes of graphs.