Leapfrog and Related Operations on Toroidal Fullerenes

Croatica Chemica Acta

Volumn 76, Issue 2, 2003, Pages 153-159

  Diudea, Mircea V ^a   John, Peter E ^b   Graovac, Ante ^c,d   Primorac, Miljenko ^e   Pisanski, Tomaž ^f  

^a BABE BOLYAI UNIVERSITY   (Romania)

^b ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^c RUDER BO KOVI INSTITUTE   (Croatia)

^d UNIVERSITY OF SPLIT   (Croatia)

^e UNIVERSITY OF ZAGREB   (Croatia)

^f UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

3 valent hexagonal tilings; 4 valent square tilings; Carbon allotropes; Leapfrog transformation; Toroids

Indexed keywords

FULLERENE DERIVATIVE;

CONFERENCE PAPER; EMBEDDING; GEOMETRY; ISOMER; ROTATION; THEORY;

EID: 1542407490     PISSN: 00111643     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (58)

1. H. Kroto, Fuller. Sci. Technol. 2 (1994) 333-342.
2. F. Diedrich and C. Thilgen, Science 271 (1996) 317-323.
3. S. Neretin, K. A. Lyssenko, M. Yu. Antipin, Yu. L. Slovokhotov, O. V. Boltalina, P. A. Troshin, A. Yu. Lukonin, L. N. Sidorov, and R. Taylor, Angew. Chem., Int. Ed. Engl. 39 (2000) 3273-3276.
4. W. Rubin and Y. A. Qian, Angew. Chem., Int. Ed. Engl. 39 (2000) 3133-3137.
5. K. Lee, Ch. H. Lee, H. Song, J. T. Park, H. Y. Chang, and M.-G. Choi, Angew. Chem., Int. Ed. Engl. 39 (2000) 1801-1804.
6. T. F. Fässler, R. Hoffmann, S. Hoffmann, and M. Wörle, Angew. Chem., Int. Ed. Engl. 39 (2000) 2091-2094.
7. S. Iijima, Nature 354 (1991) 56-58.
8. S. Iijima and T. Ichihashi, Nature 361 (1993) 603-605.
9. A. L. Ivanovskii, Russ. Chem. Rev. 68 (1999) 103-118.
10. S. Itoh and S. Ihara, Phys. Rev. B 47 (1993) 1703-1704.
11. S. Ihara and S. Itoh, Phys. Rev. B 47 (1993) 12908-12911.
12. S. Itoh and S. Ihara, Phys. Rev. B 48 (1993) 8323-8328.
13. E. C. Kirby, Croat. Chem. Acta 66 (1993) 13-26.
14. E. C. Kirby, R. B. Mallion, and P. Pollak, J. Chem. Soc., Faraday Trans. 89 (1993) 1945-1953.
15. S. Itoh and S. Ihara, Phys. Rev. B 49 (1994) 13970-13974.
16. J. K. Johnson, B. N. Davidson, M. R. Pederson, and J. Q. Broughton, Phys. Rev. B 50 (1994) 17575-17582.
17. B. Borštnik and D. Lukman, Chem. Phys. Lett. 228 (1994) 312-316.
18. E. C. Kirby, Fullerene Sci. Technol. 2 (1994) 395-404.
19. J. E. Avron and J. Berger, Phys. Rev. A 51 (1995) 1146-1149.
20. P. E. John, Croat. Chem. Acta 71 (1998) 435-447.
21. V. Meunier, Ph. Lambin, and A. A. Lucas, Phys. Rev. B 57 (1998) 14886-14890.
22. D-H Oh, J. M. Park, and K. S. Kim, Phys. Rev. B 62 (2000) 1600-1603.
23. A. Ceulemans, L. F. Chibotaru, S. A. Bovin, and P. W. Fowler, J. Chem. Phys. 112 (2000) 4271-4278.
24. D. Marušić and T. Pisanski, Croat. Chem. Acta 73 (2000) 969-981.
25. S. A. Bovin, L. F. Chibotaru, and A. Ceulemans, J. Mol. Catalysis 166 (2001) 47-52.
26. D. Babić, D. J. Klein, and T. G. Schmalz, J. Mol. Graphics Modell. 19 (2001) 222-231.
27. X. Liu, D. J. Klein, and T. G. Schmaltz, Fullerene Sci. Technol. 2 (1994) 405-422.
28. E. C. Kirby, Croat. Chem. Acta 73 (2000) 983-991.
29. E. C. Kirby and T. Pisanski, J. Math. Chem. 23 (1998) 151-167.
30. J. Liu, H. Dai, J. F. Hafner, D. T. Colbert, R. E. Smalley, S. J. Tans, and C. Dekker, Nature 385 (1997) 780-781.
31. R. Martel, H. R. Shea, and P. Avouris, Nature 398 (1999) 299-299.
32. R. Martel, H. R. Shea, and P. Avouris, J. Phys. Chem. B 103 (1999) 7551-7556.
33. M. Ahlskog, E. Seynaeve, R. J. M. Vullers, C. Van Haesendonck, A. Fonseca, K. Hemadi, and J. B. Nagy, Chem. Phys. Lett. 300 (1999) 202-206.
34. T. Pisanski and J. Shawe-Taylor, J. Chem. Inf. Comput. Sci. 40 (2000) 567-571.
35. A. Graovac, D. Plavšić, M. Kaufman, T. Pisanski, and E. C. Kirby, J. Chem. Phys. 113 (2000) 1925-1931.
36. A. Graovac, M. Kaufman, T. Pisanski, E. C. Kirby, and D. Plavšić, J. Chem. Phys. 113 (2000) 1-7.
37. I. Laszlo, A. Rassat, P. W. Fowler, and A. Graovac, Chem. Phys. Lett. 342 (2001) 369-374.
38. D. E. Manolopoulos and P. W. Fowler, J. Chem. Phys. 96 (1992) 7603-7614.
39. T. G. Schmalz, W. A. Seitz, D. J. Klein, and G. E. Hite, J. Am. Chem. Soc. 110 (1988) 1113-1127.
40. A. Muller, P. Kogerler, and Ch. Kuhlman, Chem. Commun. (1999) 1347-1358.
41. M. V. Diudea and A. Graovac, Commun. Math. Comput. Chem. (MATCH) 44 (2001) 93-102.
42. M. V. Diudea and P. E. John, Commun. Math. Comput. Chem. (MATCH) 44 (2001) 103-116.
43. M. V. Diudea, I. Silaghi-Dumitrescu, and B. Parv, Commun. Math. Comput. Chem. (MATCH) 44 (2001) 117-133.
44. M. V. Diudea and E. C. Kirby, Fullerene Sci. Technol. 9 (2001) 445-465.
45. M. V. Diudea, Bull. Chem. Soc. Jpn, 75 (2002) 487-492.
46. P. W. Fowler and T. Pisanski, J. Chem. Soc., Faraday Trans. 90 (1994) 2865-2871.
47. T. Pisanski and M. Randić, in: Geometry at Work, M. A. A. Notes, 53 (2000) 174-194.
48. F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1969.
49. R. B. King, Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry, CRC Press, 1993.
50. P. W. Fowler and J. I. Steer, J. Chem. Soc., Chem. Commun. (1987) 1403-405.
51. G. Brinkmann, P. W. Fowler, and M. Yoshida, Commun. Math. Comput. Chem. (MATCH) 38 (1998) 7-17.
52. P. W. Fowler and K. M. Rogers, J. Chem. Soc., Faraday Trans. 94 (1998) 2509-2514.
53. M. V. Diudea, I. Gutman, and L. Jäntschi, Molecular Topology, Nova Science, Huntington, New York, 2001.
54. H. Hosoya, Discrete Appl. Math. 19 (1988) 239-257.
55. I. Gutman, S. Klavžar, M. Petkovšek, and P. Žigert, Commun. Math. Comput. Chem. (MATCH) 43 (2001) 49-66.
56. M. V. Diudea, B. Parv, P. E. John, O. Ursu, and A. Graovac, Commun. Math. Comput. Chem. (MATCH), submitted.
57. P. W. Fowler, J. E. Cremona, and J. I. Steer, Theor. Chim. Acta 73 (1988) 1-26.
58. M. Yoshida, M. Fujita, P. W. Fowler, and E. C. Kirby, J. Chem. Soc., Faraday Trans. 93 (1997) 1037-1043.