Abstract
The fullerene derivative hexagonal system is obtained from fullerene Cn and hexagonal system sticked by a common edge. The Merrifield–Simmons index of a graph G is defined as the total number of the independent sets of G. In this paper, we give the lower and larger bound of Merrifield–Simmons index of the fullerene derivative hexagonal system. Furthermore, we give two formulas of the Merrifield–Simmons index of the fullerene derivative hexagonal system C 20 ⊗ l(n) and C 20 ⊗ (l(n 1), l(n 2)).
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