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Keywords

Composite graphs G1⊠ G2
n-Hosoya polynomial
n-Wiener index

Abstract

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.  
https://doi.org/10.33899/csmj.2013.163474
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