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Connective eccentric index of fullerenes | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 5، دوره 1، 1-2، شهریور 2011، صفحه 43-50 اصل مقاله (281.6 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2011.462 | ||
| نویسنده | ||
| Modjtaba Ghorbani* | ||
| Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785 – 136, I. R. Iran | ||
| تاریخ دریافت: 26 دی 1389، تاریخ بازنگری: 20 بهمن 1389، تاریخ پذیرش: 22 اسفند 1389 | ||
| چکیده | ||
| Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The connective eccentric index of graph G is defined as C (G)= Σa V(G)deg(a)ε(a) -1, where ε(a) is defined as the length of a maximal path connecting a to another vertex of G. In the present paper we compute some bounds of the connective eccentric index and then we calculate this topological index for two infinite classes of fullerenes. | ||
| کلیدواژه‌ها | ||
| Connective eccentric index؛ eccentric connectivity index؛ Fullerene graphs | ||
| مراجع | ||
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REFERENCES
1. V. Sharma, R. Goswami and A. K. Madan, Eccentric connectivity index: a novel highly discriminating topological descriptor for structure property and structure activity studies, J. Chem. Inf. Comput. Sci., 37 (1997), 273 – 282.
2. B. Zhou and Z. Du, Minimum Wiener indices of trees and unicyclic graphs of given matching number, MATCH Commun. Math. Comput. Chem., 63(1) (2010), 101 – 112.
3. A. Dobrynin and A. Kochetova, Degree distance of a graph: A degree analogue of the Wiener index, J. Chem., Inf., Comput. Sci., 34(1994), 1082 – 1086.
4. I. Gutman, Selected properties of the Schultz molecular topogical index, J. Chem. Inf. Comput. Sci., 34(1994), 1087 – 1089.
5. I. Gutman and O. E. Polansky, Mathematical concepts in organic Chemistry, Springer-Verlag, New York, 1986. 6. M. A. Johnson and G. M. Maggiora, Concepts and applications of molecular similarity,Wiley Interscience, New York, 1990. 7. S. Gupta, M. Singh and A. K. Madan, Connective eccentricity Index: A novel topological descriptor for predicting biological activity, J. Mol. Graph. Model., 18 (2000), 18 – 25.
8. H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl and R. E. Smalley, C60: Buckminsterfullerene, Nature, 318 (1985), 162 – 163.
9. H. W. Kroto, J. E. Fichier and D. E. Cox, The fullerene, Pergamon Press, New York, 1993.
10. N. Trinajstić and I. Gutman, Mathematical Chemistry, Croat. Chem. Acta, 75 (2002), 329 – 356.
11. A. R. Ashrafi, M. Ghorbani and M. Jalali, Computing sadhana polynomial of V -phenylenic nanotubes and nanotori, Indian J. Chem., 47 (2008), 535 – 537.
12. A. R. Ashrafi and M. Ghorbani, PI and Omega polynomials of IPR fullerenes, Fullerenes, Nanotubes and Carbon Nanostructures, 18(3) (2010), 198 – 206.
13. A. R. Ashrafi, M. Ghorbani and M. Jalali, Study of IPR fullerenes by counting polynomials, Journal of Theoretical and Computational Chemistry, 8(3) (2009), 451 – 457.
14. A. R. Ashrafi, M. Saheli and M. Ghorbani, The eccentric connectivity index of nanotubes and nanotori, Journal of Computational and Applied Mathematics, 235(16) (2011), 4561-4566.
15. The GAP Team: GAP, Groups, Algorithms and Programming, RWTH, Aachen, 1995.
16. A. R. Ashrafi and M. Ghorbani, Eccentric Connectivity Index of Fullerenes, 2008, In: I. Gutman, B. Furtula, Novel Molecular Structure Descriptors – Theory and Applications II, pp. 183 – 192. | ||
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