Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using <i>ev</i>-Degree and <i>ve</i>-Degree Zagreb Indices

Süleyman Ediz

doi:doi:10.11648/j.ijssam.20170205.12

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Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices

Süleyman Ediz

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 5)

Received: 22 August 2017 Accepted: 6 September 2017 Published: 17 October 2017

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Abstract

Topological indices have important role in theoretical chemistry for QSPR researches. Among the all topological indices the Randić and the Zagreb indices have been used more considerably than any other topological indices in chemical and mathematical literature. Most of the topological indices as in the Randić and the Zagreb indices are based on the degrees of the vertices of a connected graph. Recently novel two degree concepts have been defined in graph theory; ev-degrees and ve-degrees. In this study ev-degree Zagreb index, ve-degree Zagreb indices and ve-degree Randić index are defined by using these new graph invariants as parallel to their corresponding classical degree versions. These new group ev-degree and ve-degree indices are compared with the other well-known and most used topological indices in literature such as; Wiener, Zagreb and Randić indices by modelling some physicochemical properties of octane isomers. The ev-degree Zagreb index, the ve-degree Zagreb and the ve-degree Randić indices give better correlation than Wiener, Zagreb and Randić indices to predict the some specific physicochemical properties of octanes. The relations between the second Zagreb index and ev-degree and ve-degree Zagreb indices and some mathematical properties of ev-degree and ve-degree Zagreb indices are investigated.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 5)
DOI	10.11648/j.ijssam.20170205.12
Page(s)	87-92
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), 2024. Published by Science Publishing Group

Keywords

ev-Degree Zagreb Index, Octane Isomers, QSPR, QSAR, ve-Degree Randić Index, ve-Degree Zagreb Indices

References

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[6]	H. Wiener, J. Am. Chem. Soc. 69, 17 (1947).
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[8]	H. Mujahed, B. Nagy, Acta Crystallogr. Sect. A 72, 243 (2016).
[9]	M. Knor, R. Škrekovski, A. Tepeh, Discrete Appl. Math. 211, 121 (2016).
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Süleyman Ediz. (2017). Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. International Journal of Systems Science and Applied Mathematics, 2(5), 87-92. https://doi.org/10.11648/j.ijssam.20170205.12

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ACS Style

Süleyman Ediz. Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. Int. J. Syst. Sci. Appl. Math. 2017, 2(5), 87-92. doi: 10.11648/j.ijssam.20170205.12

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AMA Style

Süleyman Ediz. Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. Int J Syst Sci Appl Math. 2017;2(5):87-92. doi: 10.11648/j.ijssam.20170205.12

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@article{10.11648/j.ijssam.20170205.12,
  author = {Süleyman Ediz},
  title = {Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {87-92},
  doi = {10.11648/j.ijssam.20170205.12},
  url = {https://doi.org/10.11648/j.ijssam.20170205.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170205.12},
  abstract = {Topological indices have important role in theoretical chemistry for QSPR researches. Among the all topological indices the Randić and the Zagreb indices have been used more considerably than any other topological indices in chemical and mathematical literature. Most of the topological indices as in the Randić and the Zagreb indices are based on the degrees of the vertices of a connected graph. Recently novel two degree concepts have been defined in graph theory; ev-degrees and ve-degrees. In this study ev-degree Zagreb index, ve-degree Zagreb indices and ve-degree Randić index are defined by using these new graph invariants as parallel to their corresponding classical degree versions. These new group ev-degree and ve-degree indices are compared with the other well-known and most used topological indices in literature such as; Wiener, Zagreb and Randić indices by modelling some physicochemical properties of octane isomers. The ev-degree Zagreb index, the ve-degree Zagreb and the ve-degree Randić indices give better correlation than Wiener, Zagreb and Randić indices to predict the some specific physicochemical properties of octanes. The relations between the second Zagreb index and ev-degree and ve-degree Zagreb indices and some mathematical properties of ev-degree and ve-degree Zagreb indices are investigated.},
 year = {2017}
}

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TY  - JOUR
T1  - Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices
AU  - Süleyman Ediz
Y1  - 2017/10/17
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170205.12
DO  - 10.11648/j.ijssam.20170205.12
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 87
EP  - 92
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170205.12
AB  - Topological indices have important role in theoretical chemistry for QSPR researches. Among the all topological indices the Randić and the Zagreb indices have been used more considerably than any other topological indices in chemical and mathematical literature. Most of the topological indices as in the Randić and the Zagreb indices are based on the degrees of the vertices of a connected graph. Recently novel two degree concepts have been defined in graph theory; ev-degrees and ve-degrees. In this study ev-degree Zagreb index, ve-degree Zagreb indices and ve-degree Randić index are defined by using these new graph invariants as parallel to their corresponding classical degree versions. These new group ev-degree and ve-degree indices are compared with the other well-known and most used topological indices in literature such as; Wiener, Zagreb and Randić indices by modelling some physicochemical properties of octane isomers. The ev-degree Zagreb index, the ve-degree Zagreb and the ve-degree Randić indices give better correlation than Wiener, Zagreb and Randić indices to predict the some specific physicochemical properties of octanes. The relations between the second Zagreb index and ev-degree and ve-degree Zagreb indices and some mathematical properties of ev-degree and ve-degree Zagreb indices are investigated.
VL  - 2
IS  - 5
ER  -

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Author Information

Süleyman Ediz

Faculty of Education, Van Yüzüncü Y?l University, Van, Turkey

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Plain Text BibTeX RIS

APA Style

Süleyman Ediz. (2017). Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. International Journal of Systems Science and Applied Mathematics, 2(5), 87-92. https://doi.org/10.11648/j.ijssam.20170205.12

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ACS Style

Süleyman Ediz. Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. Int. J. Syst. Sci. Appl. Math. 2017, 2(5), 87-92. doi: 10.11648/j.ijssam.20170205.12

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AMA Style

Süleyman Ediz. Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. Int J Syst Sci Appl Math. 2017;2(5):87-92. doi: 10.11648/j.ijssam.20170205.12

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@article{10.11648/j.ijssam.20170205.12,
  author = {Süleyman Ediz},
  title = {Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {87-92},
  doi = {10.11648/j.ijssam.20170205.12},
  url = {https://doi.org/10.11648/j.ijssam.20170205.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170205.12},
  abstract = {Topological indices have important role in theoretical chemistry for QSPR researches. Among the all topological indices the Randić and the Zagreb indices have been used more considerably than any other topological indices in chemical and mathematical literature. Most of the topological indices as in the Randić and the Zagreb indices are based on the degrees of the vertices of a connected graph. Recently novel two degree concepts have been defined in graph theory; ev-degrees and ve-degrees. In this study ev-degree Zagreb index, ve-degree Zagreb indices and ve-degree Randić index are defined by using these new graph invariants as parallel to their corresponding classical degree versions. These new group ev-degree and ve-degree indices are compared with the other well-known and most used topological indices in literature such as; Wiener, Zagreb and Randić indices by modelling some physicochemical properties of octane isomers. The ev-degree Zagreb index, the ve-degree Zagreb and the ve-degree Randić indices give better correlation than Wiener, Zagreb and Randić indices to predict the some specific physicochemical properties of octanes. The relations between the second Zagreb index and ev-degree and ve-degree Zagreb indices and some mathematical properties of ev-degree and ve-degree Zagreb indices are investigated.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices
AU  - Süleyman Ediz
Y1  - 2017/10/17
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170205.12
DO  - 10.11648/j.ijssam.20170205.12
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 87
EP  - 92
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170205.12
AB  - Topological indices have important role in theoretical chemistry for QSPR researches. Among the all topological indices the Randić and the Zagreb indices have been used more considerably than any other topological indices in chemical and mathematical literature. Most of the topological indices as in the Randić and the Zagreb indices are based on the degrees of the vertices of a connected graph. Recently novel two degree concepts have been defined in graph theory; ev-degrees and ve-degrees. In this study ev-degree Zagreb index, ve-degree Zagreb indices and ve-degree Randić index are defined by using these new graph invariants as parallel to their corresponding classical degree versions. These new group ev-degree and ve-degree indices are compared with the other well-known and most used topological indices in literature such as; Wiener, Zagreb and Randić indices by modelling some physicochemical properties of octane isomers. The ev-degree Zagreb index, the ve-degree Zagreb and the ve-degree Randić indices give better correlation than Wiener, Zagreb and Randić indices to predict the some specific physicochemical properties of octanes. The relations between the second Zagreb index and ev-degree and ve-degree Zagreb indices and some mathematical properties of ev-degree and ve-degree Zagreb indices are investigated.
VL  - 2
IS  - 5
ER  -

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