VERTEX-ECCENTRICITY DESCRIPTORS IN DENDRIMERS
dc.contributor.author | Mahdieh AZARI | |
dc.contributor.author | Ali IRANMANESH | |
dc.contributor.author | Mircea V. DIUDEA | |
dc.date.accessioned | 2024-10-17T10:51:27Z | |
dc.date.issued | 2017-03-30 | |
dc.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 | |
dc.description.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. | |
dc.description.sponsorship | Partial support by the Center of Excellence of Algebraic Hyper-structures and its Applications of Tarbiat Modares University (CEAHA) is gratefully acknowledged by the second author (AI) | |
dc.identifier.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. | |
dc.identifier.issn | 1224-7154 | |
dc.identifier.issn | (online): 2065-9520 | |
dc.identifier.uri | http://dspace.chem.ubbcluj.ro/handle/20.500.14637/44 | |
dc.language.iso | en | |
dc.publisher | STUDIA UBB CHEMIA. Published by Babeş-Bolyai University | |
dc.relation.ispartofseries | STUDIA UBB CHEMIA, LXII, 1, 2017 (p. 129-142), DOI:10.24193/subbchem.2017.1.11 | |
dc.subject | Vertex eccentricity | |
dc.subject | Molecular descriptor | |
dc.subject | Molecular graph | |
dc.subject | Bethe tree | |
dc.subject | Dendrimer | |
dc.subject | Rooted product of graphs | |
dc.title | VERTEX-ECCENTRICITY DESCRIPTORS IN DENDRIMERS | |
dc.type | Article |