Computing Orbits of Big Fullerenes

Abstract

An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = d_ij, where for i≠j, d_ij is the elucidean distance between the nuclei i and j. In this matrix d_ij can be  taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for distinct nuclei. In this paper the symmetry of the big fullerene C₃₂₀ with point group symmetry I_h together with its orbits is computed.