A Constructive Enumeration of Fullerenes (0)
by
Gunnar Brinkmann
,
Andreas W.M. Dress
,
Fakultat Fur Mathematik
,
Fakultat Fur Mathematik
| Citations: | 13 - 2 self |
BibTeX
@MISC{Brinkmann_aconstructive,
author = {Gunnar Brinkmann and Andreas W.M. Dress and Fakultat Fur Mathematik and Fakultat Fur Mathematik},
title = {A Constructive Enumeration of Fullerenes},
year = {}
}
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Abstract
In this paper, a fast and complete method to enumerate fullerene structures is given. It is based on a top-down approach, and it is fast enough to generate, for example, all 1812 isomers of C 60 in less than 20 seconds on an SGI-workstation. The method described can easily be generalised for 3-regular spherical maps with no face having more than 6 edges in its boundary.
Citations
| 179 | Regular polytopes - Coxeter - 1973 |
| 67 | Vorlesungen uber die Theorie der Polyeder - Steinitz, Rademacher - 1934 |
| 11 | MOLGEN -- ein Computeralgebrasystem fur die Konstruktion molekularer Graphen. match - Grund, Kerber, et al. - 1992 |
| 7 | On generating planar graphs - Barnette - 1974 |
| 7 | Generating cubic graphs faster than isomorphism checking, preprint - Brinkmann - 1992 |
| 4 | The smallest cubic graphs of girth 9 - Brinkmann, McKay, et al. - 1995 |
| 3 | PentHex Puzzles -- a reliable and efficient top-down approach to fullerene-structure enumeration - Brinkmann, Dress |
| 3 | Constructing the cubic graphs on up to 20 vertices, Ars Combinatoria 21A - McKay, Royle - 1986 |
| 2 | Theoretical studies of the fullerenes - Manolopoulos, May, et al. - 1991 |
| 2 | Combinatorial construction of fullerene structures - Sah - 1993 |
| 1 | Generation of carbon cage polyhedra - Liu, Klein, et al. - 1991 |
