Application of a mathematical problem to the symmetry of fullerene C ₆₀

In an earlier paper, the second author of this letter proved an algorithm for computing the symmetry of molecules. He applied his algorithm to calculate the symmetry of the smallest fullerene C₂₀. In this letter, we improve the mentioned algorithm to compute the automorphism group of the fullerene C₆₀ with connectivity and geometry of I _hsymmetry point group.