On <i>ve</i>-Degree and <i>ev</i>-Degree Zagreb Indices of Titania Nanotubes

Murat Cancan; Mehmet Şerif Aldemir

doi:doi:10.11648/j.ajche.20170506.18

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On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes

Murat Cancan, Mehmet Şerif Aldemir

Published in American Journal of Chemical Engineering (Volume 5, Issue 6)

Received: 18 July 2017 Accepted: 13 October 2017 Published: 30 November 2017

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Abstract

Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index of titania nanotubes were computed.

Published in	American Journal of Chemical Engineering (Volume 5, Issue 6)
DOI	10.11648/j.ajche.20170506.18
Page(s)	163-168
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), 2017. Published by Science Publishing Group

Keywords

ev-Degree Zagreb Index, ve-Degree Randić Index, ve-Degree Zagreb Indices, QSPR Researches, Titania Nanotubes

References

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APA Style

Murat Cancan, Mehmet Şerif Aldemir. (2017). On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. American Journal of Chemical Engineering, 5(6), 163-168. https://doi.org/10.11648/j.ajche.20170506.18

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ACS Style

Murat Cancan; Mehmet Şerif Aldemir. On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. Am. J. Chem. Eng. 2017, 5(6), 163-168. doi: 10.11648/j.ajche.20170506.18

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AMA Style

Murat Cancan, Mehmet Şerif Aldemir. On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. Am J Chem Eng. 2017;5(6):163-168. doi: 10.11648/j.ajche.20170506.18

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@article{10.11648/j.ajche.20170506.18,
  author = {Murat Cancan and Mehmet Şerif Aldemir},
  title = {On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes},
  journal = {American Journal of Chemical Engineering},
  volume = {5},
  number = {6},
  pages = {163-168},
  doi = {10.11648/j.ajche.20170506.18},
  url = {https://doi.org/10.11648/j.ajche.20170506.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20170506.18},
  abstract = {Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index of titania nanotubes were computed.},
 year = {2017}
}

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TY  - JOUR
T1  - On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes
AU  - Murat Cancan
AU  - Mehmet Şerif Aldemir
Y1  - 2017/11/30
PY  - 2017
N1  - https://doi.org/10.11648/j.ajche.20170506.18
DO  - 10.11648/j.ajche.20170506.18
T2  - American Journal of Chemical Engineering
JF  - American Journal of Chemical Engineering
JO  - American Journal of Chemical Engineering
SP  - 163
EP  - 168
PB  - Science Publishing Group
SN  - 2330-8613
UR  - https://doi.org/10.11648/j.ajche.20170506.18
AB  - Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index of titania nanotubes were computed.
VL  - 5
IS  - 6
ER  -

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Author Information

Murat Cancan

Department of Mathematics, Faculty of Education, Van Yüzüncü Y?l University, Van, Turkey
Mehmet Şerif Aldemir

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APA Style

Murat Cancan, Mehmet Şerif Aldemir. (2017). On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. American Journal of Chemical Engineering, 5(6), 163-168. https://doi.org/10.11648/j.ajche.20170506.18

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ACS Style

Murat Cancan; Mehmet Şerif Aldemir. On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. Am. J. Chem. Eng. 2017, 5(6), 163-168. doi: 10.11648/j.ajche.20170506.18

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AMA Style

Murat Cancan, Mehmet Şerif Aldemir. On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes. Am J Chem Eng. 2017;5(6):163-168. doi: 10.11648/j.ajche.20170506.18

Copy | Download

@article{10.11648/j.ajche.20170506.18,
  author = {Murat Cancan and Mehmet Şerif Aldemir},
  title = {On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes},
  journal = {American Journal of Chemical Engineering},
  volume = {5},
  number = {6},
  pages = {163-168},
  doi = {10.11648/j.ajche.20170506.18},
  url = {https://doi.org/10.11648/j.ajche.20170506.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20170506.18},
  abstract = {Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index of titania nanotubes were computed.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes
AU  - Murat Cancan
AU  - Mehmet Şerif Aldemir
Y1  - 2017/11/30
PY  - 2017
N1  - https://doi.org/10.11648/j.ajche.20170506.18
DO  - 10.11648/j.ajche.20170506.18
T2  - American Journal of Chemical Engineering
JF  - American Journal of Chemical Engineering
JO  - American Journal of Chemical Engineering
SP  - 163
EP  - 168
PB  - Science Publishing Group
SN  - 2330-8613
UR  - https://doi.org/10.11648/j.ajche.20170506.18
AB  - Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randić index of titania nanotubes were computed.
VL  - 5
IS  - 6
ER  -

Copy | Download