الملخص

It is not easy to find the n-Hosoya polynomial of the compound graphs constructed in the form G1⊠G2 for any two disjoint connected graphs  and .Therefore, in this paper, we obtain n-Hosoya polynomial of G1⊠G2 when  is a complete graph and  is a special graph such as a complete graph, a bipartite complete, a wheel, or a cycle. The n-Wiener index of each such composite graph is also obtained in this paper.