Wiener index of toroidal polyhexes

Match

Volumn 56, Issue 1, 2006, Pages 153-168

  Zhang, Heping ^a   Xu, Shoujun ^a   Yang, Yujun ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845365315     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. J. Devillers and A.T. Balaban (eds.), Topological Indices and Related Descriptors in QSAR and QSPR, Gordon & Breach, Amsterdam, 1999.
2. M.V. Diudea, Hosoya polynomial in tori, MATCH Commun. Math. Comput. Chem. 45 (2002) 109-122.
3. M.V. Diudea, I. Gutman and L. Jäntschi, Molecular topology, Nova, Huntington, New-York, 2001.
4. A.A. Dobrynin, R. Entringer and I. Gutman, Wiener index of trees: theory and applications, Acta Appl. Math. 66 (2001) 211-249.
5. A.A. Dobrynin, I. Gutman, S. Klavžar and P. Žigert, Wiener index of hexagonal systems, Acta Appl. Math. 72 (2002) 247-294.
6. I. Gutman, S. Klavžar and B. Mohar (eds.), Fifty years of the Wiener index, MATCH Commun. Math. Comput. Chem., Vol. 35, 1997.
7. I. Gutman, S. Klavžar and B. Mohar (eds.), Fiftieth anniversary of the Wiener index, Discrete Appl. Math., Vol. 80, 1997.
8. I. Gutman, Y.N. Yeh, S.L. Lee and Y.L. Luo, Some recents in the theory of the Wiener number, Indian J. Chem. 32A (1993) 651-661.
9. H. Hosoya, Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons, Bull. Chem. Soc. Jpn. (1971) 2332-2339.
10. E.C. Kirby, R.B. Mallion and P. Pollak, Toroidal polyhexes, J. Chem. Sci. Faraday Trans. 89 (12) (1993) 1945-1953.
11. E.C. Kirby and P. Pollak, How to enumerate the connectional isomers of a toroidal polyhex fullerene, J. Chem. Inf. Comput. Sci. 38 (1998) 66-70.
12. D.J. Klein, Elemental benzenoids, J. Chem. Inf. Comput. Sci. 34 (1994) 453-459.
13. J. Liu, H. Dai, J.H. Hafner, D.T. Colbert, R.E. Smalley, S.J. Tans and C. Dekker, Fullerene 'crop circles', Nature 385 (1997) 780-781.
14. S. Klavžar, I. Gutman and B. Mohar, Labeling of benzenoid systems which reflects the vertex-distance relations, J. Chem. Inf. Comput. Sci. 35 (1995) 590-593.
15. D. Marušič and T. Pisanski, Symmetries of hexagonal molecular graphs on the torus, Croat. Chem. Acta. 73 (4) (2000) 969-981.
16. S. Negami, Uniqueness and faithfulness of embedding of toroidal graphs, Discrete Math. 44 (1983) 161-180.
17. S. Nikolić, N. Trinajstić and Z. Mihalić, The Wiener index: developments and applications, Croat. Chem. Acta 68 (1995) 105-129.
18. W.C. Shiu, P.C.B. Lam and H. Zhang, k-resonance in toroidal polyhexes, J. Math. Chem. 38 (2005) 471-486.
19. C. Thomassen, Tilings of the torus and the Klein bottle and vertex-transtive graphs on a fixed surface, Trans. Amer. Math. Soc. 323 (1991) 605-635.
20. H. Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc. 69 (1947) 17-20.