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Abstract
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The Hosoya index and the Merrifield-Simmons index are two types of graph invariants
used in mathematical chemistry. In this paper, we give some formulas to compute these indices for
some classes of corona product and link of two graphs. Furthermore, we obtain exact formulas of
Hosoya and Merrifield-Simmons indices for the set of bicyclic graphs, caterpillars and dual star.
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