Skip to main content
Log in

The evaluation of the eighth moment for benzenoid graphs

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Summary

The evaluation of the eighth moment of the adjacency matrix of benzenoid graphs is considered. It is found that the eighth moment can be expressed in terms of 7 graphical invariants. By this we extend the recently obtained results of Hall [1] and Dias [2].

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.

Similar content being viewed by others

References

  1. Hall GG (1986) Theor Chim Acta 70:323

    Google Scholar 

  2. Dias JR (1985) Theor Chim Acta 68:107

    Google Scholar 

  3. Gutman I, Polansky OE (1986) Mathematical concepts in organic chemistry. Springer-Verlag, Berlin

    Google Scholar 

  4. Cvetković D, Doob M, Sachs H (1980) Spectra of graphs — theory and application. Deutscher Verlag der Wissenschaften, Berlin

    Google Scholar 

  5. Randić M (1980) J Comput Chem 1:386

    Google Scholar 

  6. Knop JV, Müller WR, Szymanski K, Randić M, Trinajstić N (1983) Croat Chem Acta 56:406

    Google Scholar 

  7. Randić M (1984) J Chem Inf Comput 24:164

    Google Scholar 

  8. Szymanski K, Müller WR, Knop JV, Trinajstić N (1986) Croat Chem Acta 59:719

    Google Scholar 

  9. Gutman I, Trinajstić N (1972) Chem Phys Lett 17:535

    Google Scholar 

  10. Gutman I, Trinajstić N (1973) Chem Phys Lett 20:257

    Google Scholar 

  11. Gutman I (1974) Croat Chem Acta 46:209

    Google Scholar 

  12. Kiang YS, Tang AC (1986) Int J Quantum Chem 29:229

    Google Scholar 

  13. Dias JR (1987) J Mol Str (Theochem) 149:213

    Google Scholar 

  14. Dias JR (1987) Can J Chem 65:734

    Google Scholar 

  15. Turker L (1984) Match 16:83

    Google Scholar 

  16. Cioslowski J (1985) Z Naturforsch 40a:1167

    Google Scholar 

  17. Cioslowski J (1986) Match 20:95

    Google Scholar 

  18. Jiang Y, Tang A, Hoffmann R (1984) Theor Chim Acta 66:183

    Google Scholar 

  19. Jiang Y, Zhang H (1989) Theor Chim Acta 75:279

    Google Scholar 

  20. Jiang Y, Zhang H (1990) Pure Appl Chem 62:451

    Google Scholar 

  21. Burdett JK, Lee S, Sha WC (1984) Croat Chem Acta 57:1193

    Google Scholar 

  22. Burdett JK, Lee S (1985) J Amer Chem Soc 107:3050

    Google Scholar 

  23. Burdett JK, Lee S (1985) J Amer Chem Soc 107:3063

    Google Scholar 

  24. Burdett JK, Lee S, McLarnan TJ (1985) J Amer Chem Soc 107:3083

    Google Scholar 

  25. Gutman I, Cyvin SJ (1989) Introduction to the theory of benzenoid hydrocarbons. Springer, Berlin Heidelberg New York.

    Google Scholar 

  26. Dias JR (1985) Nouv J Chim 9:125

    Google Scholar 

  27. Hall GG (1955) Proc Roy Soc A 229:251

    Google Scholar 

  28. Gutman I (1991) Z Phys Chem (in press)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marković, S. The evaluation of the eighth moment for benzenoid graphs. Theoret. Chim. Acta 81, 237–244 (1992). https://doi.org/10.1007/BF01118564

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01118564

Key words

Navigation