Augmented eccentric connectivity index of single defect nanocones

Document Type : Original Article

Authors

1 Faculty of Civil Engineering, University of Zagreb, Kaciceva 26, 10000 Zagreb, CROATIA

2 Department of Mathematics, Payame Noor University (PNU), Aran&Bidgol, 87415141, I. R. Iran

Abstract

We present explicit formulas for the values of augmented eccentric connectivity indices of single-defect nanocones. Our main result is that the augmented eccentricity index of an n-layer nanocone with a single k-gonal defect at its apex behaves asymptotically 27k(1- ln 2)n for k ≥ 5 .

Graphical Abstract

Augmented eccentric connectivity index of single defect nanocones

Keywords

References

REFERENCES
1. Y. Alizadeh, M. Azari and T. Došlić, Computing the eccentricity related invariants of single-defect carbon nanocones, submitted.
2. T. Došlić, A. Graovac, F. Cataldo and O. Ori, Notes on some distance-based invariants for 2-dimensional square and comb lattices, Iranian Journal of Mathematical Sciences and Informatics, 5 (2010), 61–68.
3. T. Došlić, A. Graovac, D. Vukičević, F. Cataldo, O. Ori, A. Iranmanesh, A. R.Ashrafi and F. Koorepazan Moftakhar, Topological compression factors of 2-dimensional TUC4C8(R) lattices and tori, Iranian Journal of Mathematical
Chemistry, 1(2) (2010), 73–80.
4. T. Došlić and M. Saheli, Eccentric connectivity index of benzenoid graphs, in I.Gutman, B. Furtula, (Eds.), Novel Molecular Structure Descriptors - Theory and Applications II, Univ. Kragujevac, Kragujevac, 2010, pp. 169–182.
5. H. Dureja and A. K. Madan, Superaugmented eccentric connectivity indices: new generation highly discriminating topological descriptors for QSAR/QSPR modeling, Med. Chem. Res., 16 (2007), 331–341.
6. M. Ge and K. Sattler, Observation of fullerene cones, Chem. Phys. Lett., 220 (1994), 192–196.
7. A. Ilić, M. V. Diudea, F. Gholami-Nezhad and A. R. Ashrafi, Topological indices in nanocones, in I. Gutman, B. Furtula (Eds.), Novel Molecular Structure Descriptors Theory and applications I, Univ. Kragujevac, Kragujevac, 2010, pp.
217–226.
8. M. Saheli, H. Saati and A. R. Ashrafi, The eccentric connectivity index of one pentagonal carbon nanocones, Optoelectron. Adv. Mat., 4 (2010), 896–897.
Journal of Discrete Mathematics and Its Applications
Volume 1, 1-2
June 2011
Pages 25-31

Files

History

  • Receive Date: 05 January 2011
  • Revise Date: 06 February 2011
  • Accept Date: 10 March 2011
  • Publish Date: 01 June 2011

Share

How to cite

Statistics