Covering polyhedral tori

Match

Volumn 44, Issue , 2001, Pages 103-116

  Diudea, Mircea V ^a   John, Peter E ^b  

^a BABE BOLYAI UNIVERSITY   (Romania)

^b ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOM; CALCULATION; CHEMICAL STRUCTURE; MATHEMATICAL ANALYSIS; MOLECULAR MECHANICS;

EID: 0035746648     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Iijima, S, Nature (London), 1991, 354, 56.
2. Liu, J.; Dai, H.; Hafner, J. H.; Colbert, D. T.; Smalley, R. E.; Tans, S. J.; Dekker, C. Fullerene "crop circles". Nature (London), 1997, 385, 780-781
3. Martel, R.; Shea, H. R.; Avouris, P. Nature (London), 1999, 398, 299.
4. Kirby, E. C.; Mallion, R. B.; Pollak, P. Toroidal polyhexes. J. Chem. Soc. Faraday Trans. 1993, 89, 1945-1953.
5. John, P. E. Kekulé count in toroidal hexagonal carbon cages. Croat. Chem. Acta, 1998, 71, 435-447.
6. Ceulemans, A.; Chibotaru, L. F.; Bovin, S. A.; Fowler, P. W. The electronic structure of polyhex carbon tori. J. Chem. Phys. 2000, 112, 4271-4278.
7. Gross, J. T.; Tucker, T. W. Topological Graph Theory; Wiley Interscience, 1987.
8. Pisanski, T.; Žitnik, A.; Graovac, A.; Baumgartner, A. Rotagraphs and their generalizations, J. Chem. Inf. Comput. Sci. 1994, 34, 1090-1093.
9. 4-tori. Commun. Math. Comput. Chem. (MATCH), this volume.
10. King, R. B. Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry, CRC Press, 1993.
11. Pisanski, T.; Randić, M. Bridges between Geometry and Graph Theory. In: C. A. Gorini, Ed., Geometry at Work. A Collection of Papers Showing Applications of Geometry. Math. Assoc. Amer. Notes , 2000, 53, 174-194.
12. Fowler, P. V.; Steer, J. I. The leapfrog principle: a rule for electron counts of carbon clusters. J. Chem. Soc. Chem. Commun. 1987, 1403-5.
13. Fowler, P. V.; Cremona, J. E.; Steer, J. I. Systematics of bonding in non-icosahedral carbon clusters. Theor. Chim. Acta 1988, 73, 1-26.
14. Brinkmann, G.; Fowler, P. W.; Yoshida, M. New non-spiral fullerenes from old: generalized truncation of isolated-pentagon-triple carbon cages. Commun. Math. Comput. Chem. (MATCH), 1998, 38, 7-17.
15. Harary, F. Graph Theory, Addison - Wesley, Reading, M.A., 1969.
16. Muller, A.; Kogerler, P.; Kuhlman, Ch. A variety of combinatorially linkable units as disposition: from a giant icosahedral Kepterate to multi-functional metal-oxide based network structures. Chem. Commun. 1999, 1347-1358.