Codes in platonic, Archimedean, catalan, and related polyhedra: A model for maximum addition patterns in chemical cages

Journal of Chemical Information and Computer Sciences

Volumn 41, Issue 2, 2001, Pages 376-386

  De la Vaissiere B ^a   Fowler, P W ^a   Deza, M ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035271778     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci000129s     Document Type: Article

References (10)

1. MacWilliams, F. J.; Sloane, N. J. A. Theory of Error-Correcting Codes; North-Holland, Amsterdam, 2nd printing, 1978.
2. 24 as a chemical illustration of graph theoretical independence. J. Chem. Soc., Perkin Trans. 2 1998, 1531-1533.
3. Fowler, P. W.; de La Vaissière, B.; Deza, M. Addition patterns, codes and contact graphs for fullerene derivatives. J. Molecular Graphics Modelling, in press.
4. Fowler, P. W.; Rogers, K. M.; Somers, K. R.; Troisi, A. Independent sets and the prediction of addition patterns for higher fullerenes, J. Chem. Soc., Perkin Trans. 2 1999, 2023-2027.
5. The program Dense Clique is given in GERAD preprint G-92-28, 1992 (GERAD, HEC, 5255 Av. Decelles, Montréal H3T1V6, Canada) 16 pp. Also published as YUGOR Yugoslav. J. Operations Res. 1992, 2, 3-11.
6. Coxeter, H. S. M. Regular Polytopes, 3rd. ed.; Dover: New York, 1973.
7. Cromwell, P. Polyhedra; Cambridge University Press: Cambridge, 1997.
8. Brendsdal, E.; Cyvin, S. J. Kekulé structures of footballene. Theochem - J. Mol. Struct. 1989, 57(1-2), 55-56.
9. 60- Chem. Phys. Lett. 1992, 198(5), 472-477.
10. Greenwood, N. N.; Earnshaw, A. Chemistry of the Elements; Pergamon Press: 1984. See chapter 6 Boron for nomenclature and examples.