Research Article

On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network

Volume: 47 Number: 1 February 1, 2018
EN

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

  1. K. Yu. Amsharov, M. Jansen, A C78 Fullerene Precursor: Toward the Direct Synthesis of Higher Fullerenes, J. Org. Chem., 73, 2931–2934, 2008.
  2. M. Baca, J. Horvràthovà, M. Mokrišovà, A. Suhànyiovà, On topological indices of fullerenes, Appl. Math. Comput., 251, 154–161, 2015.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. A.A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: theory and applications, Acta Appl. Math., 66, 21–249, 2001.
  8. M. V. Diudea (Ed.), Nanostructures, Novel Architecture, NOVA, New York, 2005.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2018

Submission Date

December 9, 2016

Acceptance Date

February 28, 2017

Published in Issue

Year 2018 Volume: 47 Number: 1

APA
Ahmad, A. (2018). On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network. Hacettepe Journal of Mathematics and Statistics, 47(1), 9-18. https://izlik.org/JA28PH68MD
AMA
1.Ahmad A. On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):9-18. https://izlik.org/JA28PH68MD
Chicago
Ahmad, Ali. 2018. “On the Degree Based Topological Indices of Benzene Ring Embedded in P-Type-Surface in 2D Network”. Hacettepe Journal of Mathematics and Statistics 47 (1): 9-18. https://izlik.org/JA28PH68MD.
EndNote
Ahmad A (February 1, 2018) On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network. Hacettepe Journal of Mathematics and Statistics 47 1 9–18.
IEEE
[1]A. Ahmad, “On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 9–18, Feb. 2018, [Online]. Available: https://izlik.org/JA28PH68MD
ISNAD
Ahmad, Ali. “On the Degree Based Topological Indices of Benzene Ring Embedded in P-Type-Surface in 2D Network”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 1, 2018): 9-18. https://izlik.org/JA28PH68MD.
JAMA
1.Ahmad A. On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network. Hacettepe Journal of Mathematics and Statistics. 2018;47:9–18.
MLA
Ahmad, Ali. “On the Degree Based Topological Indices of Benzene Ring Embedded in P-Type-Surface in 2D Network”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, Feb. 2018, pp. 9-18, https://izlik.org/JA28PH68MD.
Vancouver
1.Ali Ahmad. On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Feb. 1;47(1):9-18. Available from: https://izlik.org/JA28PH68MD