On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks

Fazal Dayan; Muhammad Javaid; Umar Ali; Bilal Ahmad; Muhammad Zulqarnain

doi:doi:10.11648/j.ajist.20180202.13

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On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks

Fazal Dayan, Muhammad Javaid, Umar Ali, Bilal Ahmad, Muhammad Zulqarnain

Published in American Journal of Information Science and Technology (Volume 2, Issue 2)

Received: 13 April 2018 Accepted: 2 May 2018 Published: 4 June 2018

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Abstract

Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.

Published in	American Journal of Information Science and Technology (Volume 2, Issue 2)
DOI	10.11648/j.ajist.20180202.13
Page(s)	42-49
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Triangular Silicate Network, Triangular Oxide Network, Rhombus Oxide Network, Rhombus Silicate Network, Banhatti Indices

References

[1]	V. R. Kulli, K-Banhatti indices of graphs, Journal of Computer and Mathematical Sciences, 7(4) (2016) 213-218.
[2]	V. R. Kulli, On K Banhatti indices and K hyper-Banhatti indices of V-Phenylenic nanotubes and nanotorus, Journal of Computer and Mathematical Sciences, 7(6) (2016) 302-307.
[3]	Gutman, V. R. Kulli, B. Chaluvaraju and H. S. Baregowda, On Banhatti and Zagreb indices, Journal of the International Mathematical Virtual Institute, 7(2017) 53-67.
[4]	V. R. Kulli, B. Chaluvaraju and H. S. Boregowda, Connectivity Banhatti indices for certain families of benzenoid systems, Journal of Ultra Chemistry, 13(4) (2017) 81-87.
[5]	V. R. Kulli, Multiplicative hyper-Banhatti indices and coindices of graphs, International Journal of Mathematical Archive, 7(6) (2016) 60-65.
[6]	V. R. Kulli, A new Banhatti geometric-arithmetic index, International Journal of Mathematical Archive, 8(4) (2017) 112-115.
[7]	Wiener, H. Structural determination of paraffin boiling points. J. Am. Chem. Soc. 1947, 69, 17–20.
[8]	V. R. Kulli Computing Banhatti Indices of Networks, International Journal of Advances in Mathematics Volume 2018, Number 1, Pages 31-40, 2018.
[9]	Garcia, I.; Fall, Y.; Gomez, G. Using topological indices to predict anti-alzheimer and antiparasitic GSK-3 inhibitors by multi-target QSAR in silico screening. Molecules 2010, 15, 5408–5422.
[10]	Furtula, B.; Gutman, I.; Dehmer, M. On structure-sensitivity of degree based topological indices. Appl. Math. Comput. 2013, 219, 8973–8978.
[11]	Hao, J. Theorems about Zagreb Indices and Modified Zagreb Indices. MATCH Commun. Math. Comput. Chem. 2011, 65, 659–670.
[12]	Xu, K.; Liu, M.; Das, K. C.; Gutman, I.; Furtula, B. A survey on graphs extremal with respect to distance-based topological indices. MATCH Commun. Math. Comput. Chem. 2014, 71, 461–508.
[13]	Klavzar, S.; Deutsch, E. M-Polynomial and Degree-Based Topological Indices. Iran. J. Math. Chem. 2015, 6, 93–102.
[14]	Dobrynin, A. A.; Entringer, R.; Gutman, I. Wiener index of trees: Theory and applications. Acta Appl. Math. 2001, 66, 211–249.
[15]	Zhong, L.: The harmonic index for graphs. Appl. Math. Lett. 2012, 25, 561–566.
[16]	Gutman, I. Degree-Based topological indices. Croat. Chem. Acta 2013, 86, 315–361.

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APA Style

Fazal Dayan, Muhammad Javaid, Umar Ali, Bilal Ahmad, Muhammad Zulqarnain. (2018). On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. American Journal of Information Science and Technology, 2(2), 42-49. https://doi.org/10.11648/j.ajist.20180202.13

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ACS Style

Fazal Dayan; Muhammad Javaid; Umar Ali; Bilal Ahmad; Muhammad Zulqarnain. On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. Am. J. Inf. Sci. Technol. 2018, 2(2), 42-49. doi: 10.11648/j.ajist.20180202.13

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AMA Style

Fazal Dayan, Muhammad Javaid, Umar Ali, Bilal Ahmad, Muhammad Zulqarnain. On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. Am J Inf Sci Technol. 2018;2(2):42-49. doi: 10.11648/j.ajist.20180202.13

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@article{10.11648/j.ajist.20180202.13,
  author = {Fazal Dayan and Muhammad Javaid and Umar Ali and Bilal Ahmad and Muhammad Zulqarnain},
  title = {On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks},
  journal = {American Journal of Information Science and Technology},
  volume = {2},
  number = {2},
  pages = {42-49},
  doi = {10.11648/j.ajist.20180202.13},
  url = {https://doi.org/10.11648/j.ajist.20180202.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajist.20180202.13},
  abstract = {Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.},
 year = {2018}
}

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TY  - JOUR
T1  - On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks
AU  - Fazal Dayan
AU  - Muhammad Javaid
AU  - Umar Ali
AU  - Bilal Ahmad
AU  - Muhammad Zulqarnain
Y1  - 2018/06/04
PY  - 2018
N1  - https://doi.org/10.11648/j.ajist.20180202.13
DO  - 10.11648/j.ajist.20180202.13
T2  - American Journal of Information Science and Technology
JF  - American Journal of Information Science and Technology
JO  - American Journal of Information Science and Technology
SP  - 42
EP  - 49
PB  - Science Publishing Group
SN  - 2640-0588
UR  - https://doi.org/10.11648/j.ajist.20180202.13
AB  - Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.
VL  - 2
IS  - 2
ER  -

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Author Information

Fazal Dayan

Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan
Muhammad Javaid

Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan
Umar Ali

Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan
Bilal Ahmad

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Muhammad Zulqarnain

Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan

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Plain Text BibTeX RIS

APA Style

Fazal Dayan, Muhammad Javaid, Umar Ali, Bilal Ahmad, Muhammad Zulqarnain. (2018). On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. American Journal of Information Science and Technology, 2(2), 42-49. https://doi.org/10.11648/j.ajist.20180202.13

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ACS Style

Fazal Dayan; Muhammad Javaid; Umar Ali; Bilal Ahmad; Muhammad Zulqarnain. On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. Am. J. Inf. Sci. Technol. 2018, 2(2), 42-49. doi: 10.11648/j.ajist.20180202.13

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AMA Style

Fazal Dayan, Muhammad Javaid, Umar Ali, Bilal Ahmad, Muhammad Zulqarnain. On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks. Am J Inf Sci Technol. 2018;2(2):42-49. doi: 10.11648/j.ajist.20180202.13

Copy | Download

@article{10.11648/j.ajist.20180202.13,
  author = {Fazal Dayan and Muhammad Javaid and Umar Ali and Bilal Ahmad and Muhammad Zulqarnain},
  title = {On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks},
  journal = {American Journal of Information Science and Technology},
  volume = {2},
  number = {2},
  pages = {42-49},
  doi = {10.11648/j.ajist.20180202.13},
  url = {https://doi.org/10.11648/j.ajist.20180202.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajist.20180202.13},
  abstract = {Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - On Some Banhatti Indices of Triangular Silicate, Triangular Oxide, Rhombus Silicate and Rhombus Oxide Networks
AU  - Fazal Dayan
AU  - Muhammad Javaid
AU  - Umar Ali
AU  - Bilal Ahmad
AU  - Muhammad Zulqarnain
Y1  - 2018/06/04
PY  - 2018
N1  - https://doi.org/10.11648/j.ajist.20180202.13
DO  - 10.11648/j.ajist.20180202.13
T2  - American Journal of Information Science and Technology
JF  - American Journal of Information Science and Technology
JO  - American Journal of Information Science and Technology
SP  - 42
EP  - 49
PB  - Science Publishing Group
SN  - 2640-0588
UR  - https://doi.org/10.11648/j.ajist.20180202.13
AB  - Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.
VL  - 2
IS  - 2
ER  -

Copy | Download