On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network
Abstract
The structure of any finite molecular graph which represent numerical quantities are known as topological indices. The importance of topological
indices is generally linked with QSAR/QSPR. In this paper, we compute general Zagreb ($M_\alpha$) index, general Randic connectivity ($R_\alpha$) index, general sum-connectivity ($\xi_\alpha$) index, atom-bond connectivity ($ABC$) index and geometric-arithmetic ($GA$) index, $ABC_4$; $GA_5$; multiple Zagreb indices and Zagreb polynomials indices of the benzene ring embedded in P-type-surface in 2D network.
Keywords
References
- K. Yu. Amsharov, M. Jansen, A C78 Fullerene Precursor: Toward the Direct Synthesis of Higher Fullerenes, J. Org. Chem., 73, 2931–2934, 2008.
- M. Baca, J. Horvràthovà, M. Mokrišovà, A. Suhànyiovà, On topological indices of fullerenes, Appl. Math. Comput., 251, 154–161, 2015.
- A. Q. Baig, M. Imran, H. Ali, S. U. Rehman, Computing topological polynomial of certain nanostructures, J. Optoelectron. Adv. Mat., 17(5-6), 877–883, 2015.
- B. Borovicanin, On the extremal Zagreb indices of trees with given number of segments or given number of branching vertices, MATCH Commun. Math. Comput. Chem., 74(1), 57–79, 2015.
- S. B. Bozkurt, A. D. Güngör, I. Gutman, and A. S. Çevik, Randic matrix and Randic energy, MATCH Commun. Math. Comput. Chem., 64, 239–250, 2010.
- M. Cavers, S. Fallat, and S. Kirkland, On the normalized Laplacian energy and general Randic index R-1 of graphs, Lin. Algebra Appl., 433, 172–190, 2010.
- A.A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: theory and applications, Acta Appl. Math., 66, 21–249, 2001.
- M. V. Diudea (Ed.), Nanostructures, Novel Architecture, NOVA, New York, 2005.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
February 1, 2018
Submission Date
December 9, 2016
Acceptance Date
February 28, 2017
Published in Issue
Year 2018 Volume: 47 Number: 1