Algorithms for Two Types of Topological Indices

Topological indices are closely related to the stability and physical properties (such as the boiling point) of chemical molecules. The permanental sum and Hosoya index are two topological indices that are strongly associated with molecular structure. In this paper, we present algorithms for the permanental sum and Hosoya index. As an application, we employ these two algorithms to calculate the permanental sum and Hosoya index of (3,6)-fullerene with n(4≤n≤44) vertices. These results provide a mathematical reference for the synthesis of small (3,6)-fullerenes.