A topological analysis of the C60 buckminsterfullerene and C70 based on distance matrices

The spectra and characteristic polynomials of the distance matrix of buckminsterfullerene and C70 are computed. Based on the distance matrix of C60, the distance level diagram is constructed. Topological indices such as the Wiener index, connectivity index, etc., are computed. Factorization of the distance polynomial of C60 is also considered.