VERTEX-ECCENTRICITY DESCRIPTORS IN DENDRIMERS
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Authors
Mahdieh AZARI
Ali IRANMANESH
Mircea V. DIUDEA
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STUDIA UBB CHEMIA. Published by Babeş-Bolyai University
Abstract
In this paper, we present graph theoretical methods to compute several vertex-eccentricity-based molecular descriptors such as the eccentric connectivity index, total eccentricity, average eccentricity and first and second Zagreb eccentricity indices for the generalized and ordinary Bethe trees and some dendrimer graphs. Also, we study the behavior of these descriptors under the rooted product of graphs and apply our results to compute these indices for some classes of molecular graphs, designed by attaching copies of ordinary Bethe trees to paths and cycles.
Description
STUDIA UBB CHEMIA, LXII, 1, 2017 (p. 129-142), DOI:10.24193/subbchem.2017.1.11
Mahdieh AZARI
Department of Mathematics, Kazerun Branch, Islamic Azad University, Kazerun, Iran, azari@kau.ac.ir
https://orcid.org/0000-0002-0919-0598
Ali IRANMANESH
Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran, iranmanesh@modares.ac.ir
https://orcid.org/0000-0003-2639-9454
Mircea V. DIUDEA
Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babeș-Bolyai University, Cluj-Napoca, Romania, diudea@gmail.com
https://orcid.org/0000-0003-2556-6329
* Corresponding authors: azari@kau.ac.ir, diudea@gmail.com
Citation
I. Gutman, O.E. Polansky, “Mathematical Concepts in Organic Chemistry”, Springer, Berlin, 1986.
M.V. Diudea (Ed.), “QSPR/QSAR Studies by Molecular Descriptors”, Nova, New York, 2001.
V. Sharma, R. Goswami, A.K. Madan, J. Chem. Inf. Comput. Sci., 1997, 37, 273.
P. Dankelmann, W. Goddard, C.S. Swart, Util. Math., 2004, 65, 41.
D. Vukičević, A. Graovac, Acta Chim. Slov., 2010, 57, 524.
H. Dureja, S. Gupta, A.K. Madan, J. Mol. Graphics Modell., 2008, 26, 1020.
S. Sardana, A.K. Madan, J. Mol. Model., 2002, 8, 258.
A. Alizadeh, M. Azari, T. Došlić, J. Comput. Theor. Nanosci., 2013, 10(6), 1297.
A. Ilić, I. Gutman, MATCH Commun. Math. Comput. Chem., 2011, 65(3), 731.
M.V. Diudea, G. Katona, “Molecular Topology of Dendrimers”, in: G. A. Newcome (Ed.) Advances in Dendritic Macromolecules, 1999, 4, 135.
G.A. Newcome, V.K. Gupta, G.R. Baker, Z-Q Yao, J. Org. Chem., 1985, 50, 2003.
D.A. Tomalia, Sci. Am., 1995, 272, 42.
G.R. Newcome, C.N. Moorefield, F. Vogtle, “Dendritic Macromolecules: Concepts, Syntheses, Perspectives”, VCH, Weinheim, Germany, 1996.
C. Deraedt, N. Pinaud, D. Astruc, J. Am. Chem. Soc., 2011, 136(34), 12092.
Y. Cheng, L. Zhao, Y. Li, T. Xu, Chem. Soc. Rev., 2011, 40, 2673.
H. Wiener, J. Am. Chem. Soc., 1947, 69(1), 17.
I. Gutman, D. Vidović, B. Furtula, Indian J. Chem., 2003, 42A(06), 1272.
M.V. Diudea, MATCH Commun. Math. Comput. Chem., 1995, 32, 71.
M. Eliasi, B. Taeri, J. Theor. Comp. Chem., 2008, 7(5), 1029.
M.V. Putz, O. Ori, F. Cataldo, A.M. Putz, Curr. Org. Chem., 2013, 17(23), 2816.
I. Gutman, N. Trinajstić, Chem. Phys. Lett., 1972, 17, 535.
O. Rojo, Lin. Algebra Appl., 2007, 420, 490.
A.A. Dobrynin, R. Entringer, I. Gutman, Acta Appl. Math., 2011, 66, 211.
J. Yang, F. Xia, Int. J. Contemp. Math. Sciences, 2010, 5(45), 2231.
A. Iranmanesh, M. Azari, Curr. Org. Chem., 2015, 19(3), 219.
M. Azari, Appl. Math. Comput., 2014, 239, 409.
M. Azari, A. Iranmanesh, MATCH Commun. Math. Comput. Chem., 2013, 70, 901.
M. Azari, A. Iranmanesh, Discrete Appl. Math., 2013, 161(18), 2827.
T. Došlić, Ars Math. Contemp., 2008, 1, 66.
M. Robbiano, I. Gutman, R. Jimenez, B. San Martin, Bull. Acad. Serbe. Sci. Arts (Cl. Sci. Math. Natur.), 2008, 137, 59.