ON SOME GENERAL NEIGHBORHOOD
DEGREE BASED TOPOLOGICAL INDICES

Abstract

Newly developing territories of mathematical chemistry is computational technique to get accurate analytical expressions for various topological indices of different networks. Among different topological indices, neighborhood degree based indices have significant predictive ability of physico-chemical properties. In this work, we generalize the neighborhood degree based topological indices and obtain their exact expressions for the benzene ring embedded in P-type-surface in 2D network.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 6
Year: 2019

DOI: 10.12732/ijam.v32i6.10

Download Section



Download the full text of article from here.

You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.

References

  1. [1] N. Trinajstić, Chemical Graph Theory, CRC Press, Boca Raton (1983).
  2. [2] H. Wiener, Structural determination of the paraffin boiling points, J. Amer. Chem. Soc., 69 (1947), 17-20.
  3. [3] I. Gutman, N. Trinajstić, Graph theory and molecular orbitals.Total πelectron energy of alternate hydrocarbons, Chem. Phys. Lett., 17 (1972), 535-538.
  4. [4] I. Gutman, B. Rućić, N. Trinajstić and C.F. Wilcox, Graph theory and molecular orbitals. XII. Acyclic Polyenes, J. Chem. Phys. 62 (1975), 33993405.
  5. [5] K.C. Das, K. Xu and I. Gutman, On Zagreb and Harary indices, MATCH Commun. Math. Comput. Chem., 70 (2013), 301-314.
  6. [6] S. Mondal, N. De and A. Pal, The neighbourhood Zagreb index of product graphs and its chemical interest, arXiv:1805.05273 (2018).
  7. [7] S. Mondal, N. De, and A. Pal, On some new neighbourhood degree based indices, Acta Chemica Iasi, (2019), Accepted.
  8. [8] S. Mondal, N. De and A. Pal, QSPR analysis of some novel neighborhood degree based topological descriptors, arXiv:1906.06660 (2019).
  9. [9] V. R. Kulli, Neighborhood Indices of Nanostructures, Int. J. of Current Research in Science and Technology, 5 (2019), 1-14.
  10. [10] V. R. Kulli, Multiplicative neighborhood indices, Annals of Pure and Appl. Math., (2019); doi:10.22457/apam.614v19n2a6.
  11. [11] A. Ahmad, On the degree based topological indices of benzene ring embedded in P-type-surface in 2D network, Hacet. J. Math. Stat., 47 (2018), 9-18.
  12. [12] J.B. Liu , H. Shaker, I. Nadeem and M. Hussain, Topological aspects of Boron nanotubes, Advances in Materials Sci. and Engineering, 2018 (2018); doi:10.1155/2018/5729291.
  13. [13] A. Aslam, M.F. Nadeem, Z. Zahid, S. Zafar and W. Gao, Computing certain topological indices of the line graphs of subdivision graphs of some rooted product graphs, Mathematics, 7 (2019), 393-401.
  14. [14] M. Imrana, S. Hafib, W. Gao and M. R. Farahani, On topological properties of sierpinski networks, Chaos, Solitons and Fractals, 98 (2017), 199204.
  15. [15] M.ÓKeeffe, G.B. Adams and O.F. Sankey, Predicted new low energy forms of carbon, Phys. Rev. Lett., 68 (1992), 2325-2328.
  16. [16] M.V. Diudea, Nanostructures, Novel Architecture, NOVA, New York (2005).
  17. [17] M.V. Diudea, Cs.L. Nagy, Periodic Nanostructures, Springer, Dordrecht (2007).