Skip to main content
Log in

Degree-based topological indices of hexagonal nanotubes

  • Original Research
  • Published:
Journal of Applied Mathematics and Computing Aims and scope Submit manuscript

Abstract

There are several papers that determine one or a few chosen degree-based topological indices for hexagonal nanotubes. We present formulas, which can be used to compute any degree-based topological index for those nanotubes. Then we give exact values of the best-known degree-based indices for hexagonal nanotubes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Aslan, E.: The edge eccentric connectivity index of armchair polyhex nanotubes. J. Comput. Theor. Nanosci. 12(11), 4455–4458 (2015)

    Article  Google Scholar 

  2. Bača, M., Horváthová, J., Mokrišová, M., Semaničová-Feňovčíková, A., Suhányiová, A.: On topological indices of carbon nanotube network. Can. J. Chem. 93(10), 1–4 (2015)

    MATH  Google Scholar 

  3. Bača, M., Horváthová, J., Mokrišová, M., Semaničová-Feňovčíková, A., Suhányiová, A.: On topological indices of multi-walled carbon nanotubes. J. Comput. Theor. Nanosci. 12(12), 5705–5710 (2015)

    Article  MATH  Google Scholar 

  4. Bollobás, B., Erdős, P.: Graphs of extremal weights. Ars Combinatoria 50, 225–233 (1998)

    MathSciNet  MATH  Google Scholar 

  5. Eliasi, M.: Topological indices and total energy of zig-zag polyhex nanotubes. Curr.Nanosci. 9(4), 502–513 (2013)

    Article  Google Scholar 

  6. Farahani, M.R.: Computing the hyper-Zagreb index of hexagonal nanotubes. J. Chem. Mater. Res. 2(1), 16–18 (2015)

    Google Scholar 

  7. Farahani, M.R.: Some connectivity indices and Zagreb index of polyhex nanotubes. Acta Chim. Slov. 59(4), 779–783 (2012)

    MathSciNet  Google Scholar 

  8. Farahani, M.R.: The generalized Zagreb index of the armchair polyhex nanotubes \(TUAC_6 [m, n]\). Glob. J. Chem. 2(1), 33–36 (2015)

    Google Scholar 

  9. Gupta, C.K., Lokesha, V., Shwetha, B.S., Ranjini, P.S.: Graph operations on the symmetric division deg index of graphs. Palest. J. Math. 6(1), 280–286 (2017)

    MathSciNet  MATH  Google Scholar 

  10. Gutman, I., Trinajstić, N.: Graph theory and molecular orbitals, total \(\pi \) electron energy of alternant hydrocarbons. Chem. Phys. Lett. 17, 535–538 (1972)

    Article  Google Scholar 

  11. Hao, J.: The third geometric–arithmetic index of armchair polyhex nanotubes. J. Comput. Theor. Nanosci. 10(5), 1179–1181 (2013)

    Article  Google Scholar 

  12. John, P.E., Diudea, M.V.: Wiener index of zig-zag polyhex nanotubes. Croat. Chem. Acta 77(1–2), 127–132 (2004)

    Google Scholar 

  13. Lokesha, V., Deepika, T., Ranjini, P.S., Cangul, I.N.: Operations of nanostructures via \(SDD\), \(ABC_4\) and \(GA_5\) indices. Appl. Math. Nonlinear Sci. 2(1), 173–180 (2017)

    Article  MATH  Google Scholar 

  14. Munir, M., Nazeer, W., Rafique, S., Kang, S.M.: M-polynomial and degree-based topological indices of polyhex nanotubes. Symmetry 8(12), 149 (2016)

    Article  MathSciNet  Google Scholar 

  15. Randić, M.: On characterization of molecular branching. J. Am. Chem. Soc. 97, 6609–6615 (1975)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tomáš Vetrík.

Additional information

This work was supported by the National Research Foundation of South Africa; grant numbers: 91499, 90793.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vetrík, T. Degree-based topological indices of hexagonal nanotubes. J. Appl. Math. Comput. 58, 111–124 (2018). https://doi.org/10.1007/s12190-017-1136-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12190-017-1136-x

Keywords

Mathematics Subject Classification

Navigation