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Graovac, Ante, Ghorbani, Modjtaba, Hosseinzadeh, Mohammad Ali. (1390). Computing fifth geometric-arithmetic index for nanostar dendrimers. فناوری آموزش, 1(1-2), 33-42. doi: 10.22061/jmns.2011.461
Ante Graovac; Modjtaba Ghorbani; Mohammad Ali Hosseinzadeh. "Computing fifth geometric-arithmetic index for nanostar dendrimers". فناوری آموزش, 1, 1-2, 1390, 33-42. doi: 10.22061/jmns.2011.461
Graovac, Ante, Ghorbani, Modjtaba, Hosseinzadeh, Mohammad Ali. (1390). 'Computing fifth geometric-arithmetic index for nanostar dendrimers', فناوری آموزش, 1(1-2), pp. 33-42. doi: 10.22061/jmns.2011.461
Graovac, Ante, Ghorbani, Modjtaba, Hosseinzadeh, Mohammad Ali. Computing fifth geometric-arithmetic index for nanostar dendrimers. فناوری آموزش, 1390; 1(1-2): 33-42. doi: 10.22061/jmns.2011.461

Computing fifth geometric-arithmetic index for nanostar dendrimers

Journal of Discrete Mathematics and Its Applications
مقاله 4، دوره 1، 1-2، شهریور 2011، صفحه 33-42    اصل مقاله (308 K)
نوع مقاله: Full Length Article
شناسه دیجیتال (DOI): 10.22061/jmns.2011.461
نویسندگان
Ante Graovac1؛ Modjtaba Ghorbani* 2؛ Mohammad Ali Hosseinzadeh
1Institute R. Bošković, HR-10002 Zagreb, POB 180, Croatia, and Faculty of Science, University of Split Nikole Tesle 12, HR-21000, Split, Croatia
2Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785 – 136, I. R. Iran
تاریخ دریافت: 13 دی 1389،  تاریخ بازنگری: 18 بهمن 1389،  تاریخ پذیرش: 01 فروردین 1390 
چکیده
The geometric-arithmetic index is a topological index was defined as GA(G)=∑uv2(dudv)1/2/(du+dv), in which degree of vertex u denoted by dG(u ). Now we define a new version of GA index as GA5(G)=∑uv2(δuδv)1/2/(δu+δv) ,  where δu=∑uvdv. The goal of this paper is to further the study of the GA5 index.
کلیدواژه‌ها
GA index؛ GA5 index؛ Dendrimers
مراجع
REFERENCES
1. H. Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc.,69 (1947), 17-20.

2. B. Furtula, A. Graovac and D. Vukičević, Atom–bond connectivity index of trees, Disc. Appl. Math., 157 (2009), 2828 - 2835.

3. D. Vukičević and B. Furtula, Topological index based on the ratios ofgeometrical and arithmetical means of end-vertex degrees of edges, J. Math. Chem., 46 (2009), 1369 − 1376.

4. GH. Fath-Tabar, B. Furtula and I. Gutman, A new geometric--arithmetic index, J. Math. Chem., 47 (2010), 477 – 486.

5. B. Zhou, I. Gutman, B. Furtula and Z. Du, On two types of geometric-arithmetic index, Chem. Phys. Lett., 482  (2009), 153 – 155.

6. M. Ghorbani and A. Khaki, A note on the fourth version of geometric-arithmetic index, Optoelectron. Adv. Mater. – Rapid Comm., 4(12) (2010), 2212-2215.

7. N. Trinajstić and I. Gutman, Mathematical Chemistry, Croat. Chem. Acta, 75 (2002), 329 – 356.

8. A. R. Ashrafi, M. Ghorbani and M. Jalali, Computing Sadhana polynomial of V- phenylenic nanotubes and nanotori, Indian J. Chem., 47 (2008), 535 – 537.

9. A. R. Ashrafi and M. Ghorbani, PI and Omega polynomials of IPR fullerenes, Fullerenes, Nanotubes and Carbon Nanostructures, 18(3) (2010), 198 – 206.

10. 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.

11. 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.

12. The GAP Team: GAP, Groups, Algorithms and Programming, RWTH, Aachen, 1995.

13. A. R. Ashrafii 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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