On Multiple Zagreb Indices of Dendrimer Nanostars

• Autorzy: Farahan M. R.

Identyfikatory

DOI

10.18052/www.scipress.com/ILCPA.52.147

• Języki publikacji: EN

Abstrakty

EN

In this paper, we focus on the structure of an infinite class of Dendrimer Nanostars D3[n] (n≥0 is infinite integer) and counting its First Multiple Zagreb index and Second Multiple Zagreb index. The Multiple Zagreb topological indices are equal to PM1(G)=(d_v+d_v) and PM2(G)=(d_v×d_v), where d_v is the degree of a vertex v.

Słowa kluczowe

EN

Molecular graphs; Dendrimer Nanostars; Zagreb indices; Multiple Zagreb indices

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2015
• Tom: Vol. 52
• Strony: 147--151
• Opis fizyczny: Bibluiogr. 30 poz., wz.

Twórcy

autor

Farahan M. R.

• Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran

Bibliografia

• [1] D.B. West. An Introduction to Graph Theory. Prentice-Hall. (1996).
• [2] R. Todeschini and V. Consonni. Handbook of Molecular Descriptors. Wiley, Weinheim. (2000).
• [3] N. Trinajstić. Chemical Graph Theory. CRC Press, Bo ca Raton, FL. (1992).
• [4] I. Gutman, N. Trinajstc. Chemical Physics Letters. 17, (1972). 535.
• [5] M. V. Diudea, (Ed.), QSPR/QSAR Studies by Molecular Descriptors, NOVA, New York, 2001.
• [6] M. V. Diudea, I. Gutman and L. Jäntschi, Molecular Topology, NOVA, New York, 2002.
• [7] M. V. Diudea, M. S. Florescu and P. V. Khadikar, Molecular Topology and Its Applications, EFICON, Bucharest, 2006.
• [8] I. Gutman and O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, New York, 1986.
• [9] M. A. Johnson and G. M. Maggiora, Concepts and Applications of Molecular Similarity, Wiley Interscience, New York, 1990.
• [10] H. Wiener. Structural determination of paraffin boiling points. J. Am. Chem. Soc. 69, (1947),17.
• [11] A. Dobrynin, R. Entringer and I. Gutman. Acta Appl. Math. 66, (2001), 211.
• [12] A. Dobrynin, I. Gutman, S. Klavzar and P. Zigert. Acta Appl. Math. 72, (2002), 247.
• [13] I. Gutman and N. Trinajstić, Graph theory and molecular orbitals, Total π – electron energy of alternant hydrocarbons, Chem. Phys. Lett., 1972, 17, 535–538.
• [14] M. Ghorbani and N. Azimi. Note on multiple Zagreb indices. Iranian Journal of Mathematical Chemistry, 3(2), (2012), 137-143.
• [15] I. Gutman and M. Ghorbani, Some properties of the Narumi–Katayama index, Appl. Math. Lett., 2012, 25, 1435-1438.
• [16] M. Ghorbani, M. Songhori and I. Gutman, Modified Narumi-Katayama index, Kragujevac J. Sci., 2012, 34, 57–64.
• [17] T. Došlić, On Discriminativity of Zagreb Indices, Iranian J. Math. Chem., 2012, 3(1), 25-34.
• [18] M. Eliasi, A. Iranmanesh, I. Gutman. Multiplicative Versions of First Zagreb Index. MATCH Commun. Math. Comput. Chem. 68 (2012) 217-230.
• [19] G.R. Newkome, C.N. Moorefield and F. Vogtlen, Dendrimer and Dendrons. Concepts, Syntheses, Applications. (Wiley-VCH Verlag Gmbh & Co. Kgaa), (2002).
• [20] A. Heydari, B. Taeri. MATCH Commun Math Comput Chem, 57, 463 (2007).
• [21] M. Eliasi, B. Taeri, MATCH Commun Math Comput Chem, 59, 437 (2008).
• [22] A.R. Ashrafi and P. Nikzad. Connectivity index of the family of Dendrimer Nanostars. Digest. J. Nanomater. Bios. 4, (2), 269-273. (2009).
• [23] A.R. Ashrafi and P. Nikzad. Kekule index and bounds of energy for Nanostar dendrimers. Digest. J. Nanomater. Bios. 4, (2), 383-388. (2009).
• [24] A. Karbasioun and Ali Reza Ashrafi. Wiener and detour indices of a new type of nanostar dendrimers. Macedonian journal of chemistry and chemical engineering. 28(1), 49-54 (2009).
• [25] S. Alikhani and M.A. Iranmanesh. Eccentric connectivity polynomials of an infinite family of dendrimer. Digest. J. Nanomater. Bios. 6(1), 256-257. (2011).
• [26] M. Golriz, M.R. Darafsheh and M.H. Khalifeh. The Wiener, Szeged and PI-indices of a phenylazomethine dendrimer. Digest. J. Nanomater. Bios. 6(4), 1545-1549. (2011).
• [27] M.R. Farahani. Fourth atom-bond connectivity index of an infinite class of Nanostar Dendrimer D3[n]. Journal of Advances in Chemistry. 4(1), (2013), 301-305.
• [28] M.R. Farahani. Computing Fifth Geometric-Arithmetic Index of Dendrimer Nanostars. Advances in Materials and Corrosion. 1, (2013), 62-64
• [29] M.R. Farahani, The Zagreb Indices and Zagreb Polynomials of an infinite class of Dendrimer Nanostars. Submitted for publish. (2015).
• [30] M.R. Farahani, Some Connectivity index of an infinite class of Dendrimer Nanostars. Journal of Applied Physical Science International (IK press), 2015, In press.