THE ENUMERATION OF HETEROFULLERENES

This paper uses Polya's Theorem and the generalized character cycle in dex to count theoretically the number of possible positional isomers a nd chiral isomers of the heterofullerene, taking advantage of the symm etry of molecular graphs. A unified formula for specific patterns as w ell as one for general cases is presented. Furthermore, for a heterofu llerene, the enumeration of its equivalence classes under its automorp hism group is solved by Burnside's Lemma. (C) 1998 Elsevier Science B. V. All rights reserved.