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A new method for computing ABC index of nanostar dendrimers | ||
Journal of Discrete Mathematics and Its Applications | ||
مقاله 5، دوره 3، 1-2، شهریور 2013، صفحه 23-31 اصل مقاله (261.49 K) | ||
نوع مقاله: Full Length Article | ||
شناسه دیجیتال (DOI): 10.22061/jmns.2013.475 | ||
نویسنده | ||
Mohammad Hosseinzadeh | ||
Department of Mathematics, Tarbiat Modarres University, P. O. Box: 14115-137, Tehran, I. R. Iran | ||
تاریخ دریافت: 24 فروردین 1391، تاریخ بازنگری: 07 اسفند 1391، تاریخ پذیرش: 03 خرداد 1395 | ||
چکیده | ||
The ABC index is a topological index was defined as $ABC(G)=\sum_{uv\in E}\sqrt{(d_G (u) +d_G (v )- 2)/d_G (u)d_G (v )} $, where $d_G(u)$ denotes degree of vertex u. The second version of ABC index is defined as $ABC_2(G)=\sum_{uv\in E}\sqrt{(n_u+n_v-2)/n_un_v} $ where $n_u $is the number of vertices closer to vertex u than v. In this paper we study some properties of these new topological indices. | ||
مراجع | ||
REFERENCES [1] M. V. Diudea, (Ed.), QSPR/QSAR Studies by Molecular Descriptors, NOVA, New York (2001). [2] M. V. Diudea, I. Gutman and L. Jäntschi, Molecular Topology, NOVA, New York (2002). [3] M. V. Diudea, M. S. Florescu and P. V. Khadikar, Molecular Topology and Its Applications, EFICON, Bucharest (2006). [4] I. Gutman and O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer - Verlag, New York (1986). [5] M. A. Johnson, G. M. Maggiora, Concepts and Applications of Molecular Similarity, Wiley Interscience, New York, (1990). [6] H. Wiener, J. Am. Chem. Soc., 69 (1947) 17. [7] B. Furtula, A. Graovac, D. Vukičević, Disc. Appl. Math., 157 (2009) 2828. [8] D. Vukicevic and B. Furtula, J. Math. Chem. 46 (2009) 1369 . [9] Ante Graovac and Modjtaba Ghorbani. Acta Chim. Slov., 57 (2010) 609. [10] B. Zhou, I. Gutman, B. Furtula, and Z. Du, Chem. Phys. Lett., 482 (2009) 153. [11] M. A. Hosseinzadeh and M. Ghorbani, J. Optoelectron. Adv. Mater., 11 (11) (2009) 1671. [12] N. Trinajstić and I. Gutman, Croat. Chem. Acta, 75 (2002) 329. [13] D. B. West, Introduction to Graph theory, Prentice Hall, Upper Saddle River (1996). [14] A. R. Ashra i, M. Ghorbani and M. Jalali, J. Theor. Comput. Chem., 7, 221 (2008). [15] A. R. Ashra i, M. Ghorbani and M. Jalali, J. Theor. Comput. Chem., 8, 451 (2009). [16] A. R. Ashra i, M. Jalali, M. Ghorbani and M. V. Diudea, MATCH Commun. Math. Comput. Chem., 60, 905 (2008). [17] M. Ghorbani and M. Jalali, MATCH Commun. Math. Comput. Chem., 62 (2009) 353. [18] M. Ghorbani, A. R. Ashra i and M. Hemmasi, Optoelectron. Adv. Mater. – Rapid Comm., 3 (2009) 1306. [19] A. R. Ashrafi, M. Ghorbani and M. Jalali, Optoelectron. Adv. Mater. – Rapid Comm., 3 (2009) 823. [20] A. R. Ashrafi and M. Ghorbani, Optoelectron. Adv. Mater. – Rapid Comm., 3 (2009) 596. | ||
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