Szeged index of armchair polyhex nanotubes

Match

Volumn 59, Issue 2, 2008, Pages 437-450

  Eliasi, Mehdi ^a   Taeri, Bijan ^a  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39149089302     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. I. Gutman and A. Dobrynin, On a graph invariant related to the sum of all distances in a graph, Publ. Inst. Math. (Beograd) 56 (1994) 18-22.
2. H. Wiener, Structural determination of paraffin boiling points, J. Am. Chem. Soc. 69 (1947) 17-20.
3. H. Wiener, Correlation of heats of isomerization and differences in heats of vaporization of isomers, among the paraffin hydrocarbons, J. Am. Chem. Soc.69(1947) 2636-2638.
4. H. Wiener, Influence of interatomic forces on paraffin properties, J. Chem. Phys. 15 (1947) 766-766.
5. H. Wiener, Vapor pressure - temperature relationships among the branched paraffin hydrocarbons, J. Phys. Chem. 52 (1948) 425-430.
6. H. Wiener, Relation of the physical properties of the isomeric alkanes to molecular structure. Surface tension, specific dispersion, and critical solution temperature in aniline, J. Phys. Chem. 52 (1948) 1082-1089.
7. S. Iijima, Helical microtubules of graphitic carbon, Nature 354 (1991) 56-58.
8. L. Nilsson, O. Groening, C. Emmenegger, O. Kuettel, E. Schaller, L. Schlapbach, H. Kind, J. M. Bonard and K. Kern, Scanning field emission from patterned carbon nanotube films, Appl. Phys. Lett. 76 (2000) 2071-2073.
9. W. A. de Heer, A. Chatelain and D. Ugarte, A carbon nanotube field-emission electron source, Science 270 (1995) 1179-1180.
10. S. C. Kung, K. C. Hwang and I. N. Lin, Oxygen and ozone oxidation-enhanced field emission of carbon nanotubes, Appl. Phys. Lett. 80 (2002) 4819-4821.
11. J. M. Bonard, J. P. Salvetat, T. Stöckli, L. Forró, and A. Châtelain, Field emission from carbon nanotubes: perspectives for applications and clues to the emission mechanism, Appl. Phys. 69 (1999) 245-254.
12. W. Zhu, C. Bower, G. P. Kochanski and S. Jin, Electron field emission from nanostructured diamond and carbon nanotubes, Solid-State Electronics 45 (2001) 921-928.
13. S. Uemura, T. Nagasako, J. Yotani, T. Shimojo and Y. Saito, Carbon Nanotube FED Elements, SID98 Digest, (1998) 1052-1055.
14. I. Gutman, A Formula for the Wiener Number of Trees and Its Extension to Graphs Containing Cycles, Graph Theory Notes New York 27 (1994) 9-15.
15. I. Gutman, P. Khadikar, N. Deshpande, P. Kale, A. Dobrynin and G. Dömötör, The Szeged Index and an Analogy with the Wiener Index, J. Chem. Inf. Comput. Sci. 35 (1995) 547-550.
16. I. Gutman, L. Popovic, P. Khadikar, S. Karmarkar, S. Joshi and M. Mandloi, Relations between Wiener and Szeged indices of monocyclic molecules, MATCH Commun. Math. Comput. Chem. 35 (1997) 91-103.
17. I. Gutman, P. Khadikar and T. Khaddar, Wiener and Szeged indices of benzenoid hydrocarbons containing a linear polyacene fragment, MATCH Commun. Math. Comput. Chem. 35 (1997) 105-116.
18. I. Gutman, P. Khadikar, P. Rajput and S. Karmarkar, The Szeged index of polyacenes, J. Serb. Chem. Soc. 60 (1995) 759-764.
19. 4-Tori, MATCH Commun. Math. Comput. Chem. 44 (2001) 93-102.
20. M. V. Diudea, I. Silaghi-Dumitrescu and B. Parv, Toranes Versus Torenes, MATCH Commun. Math. Comput. Chem. 44 (2001) 117-133.
21. M. V. Diudea and P. E. John, Covering polyhedral tori, MATCH Commun. Math. Comput. Chem. 44 (2001) 103-116.
22. M. V. Diudea, Graphenes from 4-valent tori, Bull. Chem. Soc. Jpn. 75 (2002) 487-492.
23. M. V. Diudea, Hosoya Polynomial in Tori, MATCH Commun. Math. Comput. Chem. 45 (2002) 109-122.
24. M. V. Diudea, M. Stefu, B. Parv and P. E. John, Wiener Index of Armchair Polyhex Nanotubes, Croat. Chem. Acta, 77 (2004) 111-115.
25. A. R. Ashrafi and A. Loghman, PI Index of Zig-zag Polyhex Nanotubes, MATCH Commun. Math. Comput. Chem. 55 (2006) 447-452.
26. 8(S) Nanotorus, MATCH Commun. Math. Comput. Chem. 57 (2007) 403-410.
27. 8(R) Nanotubes, MATCH Commun. Math. Comput. Chem. 57 (2007) 665-676.
28. 8(R) Nanotubes, J. Comput. Theor. Nano Sci. 4 (2007) 158-167.
29. 8(S) Nanotubes, MATCH Commun. Math. Comput. Chem. 57 (2007) 665-676.
30. S. Yousefi and A. R. Ashrafi, An exact expression for the Wiener index of a polyhex nanotorus, MATCH Commun. Math. Comput. Chem. 56 (2006) 169-178.
31. E. Eliasi and B. Taeri, Szeged and Balaban indices of zig-zag polyhex nanutubes, MATCH Commun. Math. Comput. Chem. 56 (2006) 383-402.
32. 8(R) nanotubes, MATCH Commun. Math. Comput. Chem. 57 (2007) 463-477.
33. 8 nanotubes, MATCH Commun. Math. Comput. Chem. 50 (2004) 133-144.
34. M. Diudea, B. Parv, P. E. John, O. Ursu and A. Graovac, Distance counting in tori. MATCH Commun. Math. Comput. Chem. 49 (2003) 23-36.
35. M. Diudea, Hosoya polynomial in tori. MATCH Commun. Math. Comput. Chem. 45 (2002) 109-122.
36. E. Eliasi and B. Taeri, Balaban index of zigzag polyhex nanotorus, J. Comput. Theor. Nano Sci. Accepted for publication.
37. F. Harary, Graph Theory, Addison-Welesly, 1972.
38. S. Wolfram. The Mathematica Book, Cambridge University Press and Wolfram Media, Cambridge, 1999.