A sum rule for symmetries and isomer counts of trivalent polyhedra

Journal of the Chemical Society - Faraday Transactions

Volumn 92, Issue 21, 1996, Pages 4145-4150

  Fowler, P W ^a   Mitchell, D ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748663109     PISSN: 09565000     EISSN: None     Source Type: Journal    
DOI: 10.1039/ft9969204145     Document Type: Article

References (17)

1. e.g. W. W. Porterfield, Inorganic Chemistry: A Unified Approach, Addison-Wesley, Reading, MA, 1984.
2. e.g. P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Oxford University Press, Oxford, 1995.
3. D. E. Manolopoulos, J. C. May and S. E. Down, Chem. Phys. Lett., 1991, 181, 105.
4. X. Liu, D. J. Klein, T. O. Schmalz and W. A. Seitz, J. Comput. Chem., 1991, 12, 1252;
5. X. Liu, T. G. Schmalz and D. J. Klein, Chem. Phys. Lett., 1992, 192, 331.
6. D. Babić, D. J. Klein and C-H. Sah, Chem. Phys. Lett., 1993, 211, 235.
7. G. Brinkmann and A. W. M. Dress, Proc. Nat. Acad. Sci. USA, in the press;
8. G. Brinkmann and A. W. M. Dress, J. Algebra, in the press.
9. M. Brückner, Atti. Cong. Int. Math. Bologna, 1928, 4, 5.
10. Y. Jiang, Y. Shao and E. C. Kirby, Fullerene Sci. Technol., 1994, 2, 481.
11. W. T. Tutte, Can. J. Math., 1962, 14, 21.
12. W. T. Tutte, in The Geometric Vein - The Coxeter Festschrift, ed. C. Davis, B. Grünbaum and F. A. Sherk, Springer-Verlag, New York, 1981.
13. D. E. Manolopoulos and P. W. Fowler, J. Chem. Phys., 1992, 96, 7603.
14. X. Liu and D. J. Klein, J. Comput. Chem., 1991, 12, 1243.
15. G. Brinkmann and B. McKay, Version 1.0 of the program plantric and its documentation are obtainable at http:// cs.anu.edu.au/people/bdm.
16. See e.g. A. Mitchell, the entry on the Smooth Arizona Cypress, in The Trees of Britain and Northern Europe, Collins, 2nd edn., 1988.
17. B. Grünbaum, Convex Polytopes, Wiley Interscience, New York 1967, p. 424, Table 1.