G. Brinkmann et Awm. Dress, PENTHEX PUZZLES - A RELIABLE AND EFFICIENT TOP-DOWN APPROACH TO FULLERENE-STRUCTURE ENUMERATION, Advances in applied mathematics (Print), 21(3), 1998, pp. 473-480
In this paper, we give a very efficient and completely reliable method
to enumerate all combinatorial possibilities for fullerene structures
. The method is based on a top-down divide and conquer approach and ca
n easily be generalized also for other kinds of spherical structures.
A computer program based on this approach was used to produce complete
lists of fullerene structures with up to 162 atoms. (C) 1998 Academic
Press.