Leapfrog fullerenes have many perfect matchings

Journal of Mathematical Chemistry

Volumn 44, Issue 1, 2008, Pages 1-4

  Došlić, Tomislav ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43249104217     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-007-9287-x     Document Type: Article

References (27)

1. Došlić T. (1998) J. Math. Chem. 24: 359-364
2. Došlić T. (2002) J. Math. Chem. 31: 187-195
3. Došlić T. (2003) J. Math. Chem. 33: 103-112
4. Došlić T. (2002) Croat. Chem. Acta 75: 869-879
5. Došlić T. (2007) J. Math. Chem. 41: 183-192
6. T. Došlić, Fullerene Symmetry Census (in preparation)
7. S. Fajtlowicz, Written on the Wall (A List of Conjectures of Graffiti), http://math.uh.edu/~clarson/#fajt
8. Fajtlowicz S., Larson C.E. (2003) Chem. Phys. Letters 377: 485-490
9. Fowler P.W., Manolopoulos D.E. (1995) An Atlas of Fullerenes. Clarendon Press, Oxford
10. Fowler P.W., Pisanski T. (1994) J. Chem. Soc. Faraday Trans. 90: 2865-2871
11. J.E. Graver, The structure of fullerene signatures, in Computers and Discovery in Graph Theory with Applications to Chemistry, The Proceedings of DIMACS Working Group Conference, 12-16 November 2001, (in press)
12. Graver J.E. (2007) Europ. J. Combin. 28: 1115-1130
13. Graver J.E. (2006) Eur. J. Combin. 27: 850-863
14. Grünbaum B., Motzkin T.S. (1963) Can. J. Math. 15: 744-751
15. Harary F. (1969) Graph Theory. Addison-Wesley, Reading MA
16. Heckman C.C., Thomas R. (2006) J. Combin. Theory B 96:253-275
17. King R.B., Diudea M.V. (2006) J. Math. Chem. 39: 597-604
18. D.J. Klein, T. Došlić, Asymptotic numbers of bucky-structures (in preparation)
19. Klein D.J., Liu X. (1992) J. Math. Chem. 11: 199-205
20. K. Kutnar, D. Marušič, On cyclic edge-connectivity of fullerenes, preprint, arXiv:math-CO/0702511
21. Liu X., Klein D.J., Schmalz T.G. (1994) Fullerene Sci. Technol. 2: 405-422
22. Lovasz L., Plummer M.D. (1986) Matching Theory. North-Holland, Amsterdam
23. Quian J., Zhang F. (2005) J. Math. Chem. 38: 233-246
24. Sachs H., Hansen P., Zheng M. (1994) Kekulé count in tubular hydrocarbons. Les Cahiers du GERAD, Montreal
25. West D.B. (1996) Introduction to Graph Theory. Prentice Hall, Upper Saddle River NJ
26. Zhang H., Ye D. (2007) J. Math. Chem. 41: 123-133
27. Zhang H., Zhang F. (2001) J. Math. Chem. 30: 343-347