Research Article

COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]

Volume: 35 Number: 4 December 1, 2017
  • Mehdi Rezaeı
  • Wei Gao
  • Muhammad K Sıddıquı
  • Mohammad R. Farahanı

COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]

Abstract

The concept of hyper Zagreb index, Zagreb and M-polynomials are establish in chemical graph theory based on the degree of the vertex. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we determine hyper Zagreb index, Zagreb and M-polynomials for an infinite class of Titania nanotubes TiO2[m,n].

Keywords

References

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  2. [2] Dobrynin A.A., Entringer R. and Gutman I., (2001) Wiener Index of Trees: Theory and Applications, Acta Applicandae Mathematica, 66(3), 211–249.
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  4. [4] Ghorbani M. and Azimi N., (2012) Note on multiple Zagreb indices, Iranian Journal of Mathematical Chemistry, 3(2), 137-143.
  5. [5] Shirdel G.H., RezaPour H. and Sayadi A. M., (2013) The Hyper-Zagreb Index of Graph Operations, Iranian Journal of Mathematical Chemistry, 4(2), 213-220.
  6. [6] Gutman I. and Das K. C., (2004) The First Zagreb Index 30 Years After, MATCH Communications in Mathematical and in Computer Chemistry, 50, 83–92.
  7. [7] Nikolic S., Kovacevic G., Miliccevic, A., Trinajstic, N., (2003) The Zagreb indices 30 years after. Croat. Chem. Acta , 76, 113-124.
  8. [8] Wang S., Wei B., (2015) Multiplicative Zagreb indices of k-trees, Discrete Applied Mathematics 180, 168-175.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Muhammad K Sıddıquı This is me
0000-0002-2607-4847
Pakistan

Mohammad R. Farahanı This is me
0000-0003-2926-4280
Iran

Publication Date

December 1, 2017

Submission Date

March 1, 2017

Acceptance Date

September 22, 2017

Published in Issue

Year 2017 Volume: 35 Number: 4

APA
Rezaeı, M., Gao, W., Sıddıquı, M. K., & Farahanı, M. R. (2017). COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]. Sigma Journal of Engineering and Natural Sciences, 35(4), 707-714. https://izlik.org/JA47YY87AB
AMA
1.Rezaeı M, Gao W, Sıddıquı MK, Farahanı MR. COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]. SIGMA. 2017;35(4):707-714. https://izlik.org/JA47YY87AB
Chicago
Rezaeı, Mehdi, Wei Gao, Muhammad K Sıddıquı, and Mohammad R. Farahanı. 2017. “COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]”. Sigma Journal of Engineering and Natural Sciences 35 (4): 707-14. https://izlik.org/JA47YY87AB.
EndNote
Rezaeı M, Gao W, Sıddıquı MK, Farahanı MR (December 1, 2017) COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]. Sigma Journal of Engineering and Natural Sciences 35 4 707–714.
IEEE
[1]M. Rezaeı, W. Gao, M. K. Sıddıquı, and M. R. Farahanı, “COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]”, SIGMA, vol. 35, no. 4, pp. 707–714, Dec. 2017, [Online]. Available: https://izlik.org/JA47YY87AB
ISNAD
Rezaeı, Mehdi - Gao, Wei - Sıddıquı, Muhammad K - Farahanı, Mohammad R. “COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]”. Sigma Journal of Engineering and Natural Sciences 35/4 (December 1, 2017): 707-714. https://izlik.org/JA47YY87AB.
JAMA
1.Rezaeı M, Gao W, Sıddıquı MK, Farahanı MR. COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]. SIGMA. 2017;35:707–714.
MLA
Rezaeı, Mehdi, et al. “COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]”. Sigma Journal of Engineering and Natural Sciences, vol. 35, no. 4, Dec. 2017, pp. 707-14, https://izlik.org/JA47YY87AB.
Vancouver
1.Mehdi Rezaeı, Wei Gao, Muhammad K Sıddıquı, Mohammad R. Farahanı. COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]. SIGMA [Internet]. 2017 Dec. 1;35(4):707-14. Available from: https://izlik.org/JA47YY87AB

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/