On Wiener Polarity Index and Wiener Index of Certain Triangular Networks
A topological index of graph G is a numerical quantity which describes its topology. If it is applied to the molecular structure of chemical compounds, it reflects the theoretical properties of the chemical compounds. A number of topological indices have been introduced so far by different researche...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/2757925 |
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| author | Mr. Adnan Syed Ahtsham Ul Haq Bokhary Muhammad Imran |
| author_facet | Mr. Adnan Syed Ahtsham Ul Haq Bokhary Muhammad Imran |
| author_sort | Mr. Adnan |
| collection | DOAJ |
| description | A topological index of graph G is a numerical quantity which describes its topology. If it is applied to the molecular structure of chemical compounds, it reflects the theoretical properties of the chemical compounds. A number of topological indices have been introduced so far by different researchers. The Wiener index is one of the oldest molecular topological indices defined by Wiener. The Wiener index number reflects the index boiling points of alkane molecules. Quantitative structure activity relationships (QSAR) showed that they also describe other quantities including the parameters of its critical point, density, surface tension, viscosity of its liquid phase, and the van der Waals surface area of the molecule. The Wiener polarity index has been introduced by Wiener and known to be related to the cluster coefficient of networks. In this paper, the Wiener polarity index WpG and Wiener index WG of certain triangular networks are computed by using graph-theoretic analysis, combinatorial computing, and vertex-dividing technology. |
| format | Article |
| id | doaj-art-5404f3a2c3a24fa2af03029e51f7d749 |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-5404f3a2c3a24fa2af03029e51f7d7492025-02-03T05:59:58ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/2757925On Wiener Polarity Index and Wiener Index of Certain Triangular NetworksMr. Adnan0Syed Ahtsham Ul Haq Bokhary1Muhammad Imran2Centre for Advanced Studies in Pure and Applied MathematicsCentre for Advanced Studies in Pure and Applied MathematicsDepartment of Mathematical SciencesA topological index of graph G is a numerical quantity which describes its topology. If it is applied to the molecular structure of chemical compounds, it reflects the theoretical properties of the chemical compounds. A number of topological indices have been introduced so far by different researchers. The Wiener index is one of the oldest molecular topological indices defined by Wiener. The Wiener index number reflects the index boiling points of alkane molecules. Quantitative structure activity relationships (QSAR) showed that they also describe other quantities including the parameters of its critical point, density, surface tension, viscosity of its liquid phase, and the van der Waals surface area of the molecule. The Wiener polarity index has been introduced by Wiener and known to be related to the cluster coefficient of networks. In this paper, the Wiener polarity index WpG and Wiener index WG of certain triangular networks are computed by using graph-theoretic analysis, combinatorial computing, and vertex-dividing technology.http://dx.doi.org/10.1155/2021/2757925 |
| spellingShingle | Mr. Adnan Syed Ahtsham Ul Haq Bokhary Muhammad Imran On Wiener Polarity Index and Wiener Index of Certain Triangular Networks Journal of Chemistry |
| title | On Wiener Polarity Index and Wiener Index of Certain Triangular Networks |
| title_full | On Wiener Polarity Index and Wiener Index of Certain Triangular Networks |
| title_fullStr | On Wiener Polarity Index and Wiener Index of Certain Triangular Networks |
| title_full_unstemmed | On Wiener Polarity Index and Wiener Index of Certain Triangular Networks |
| title_short | On Wiener Polarity Index and Wiener Index of Certain Triangular Networks |
| title_sort | on wiener polarity index and wiener index of certain triangular networks |
| url | http://dx.doi.org/10.1155/2021/2757925 |
| work_keys_str_mv | AT mradnan onwienerpolarityindexandwienerindexofcertaintriangularnetworks AT syedahtshamulhaqbokhary onwienerpolarityindexandwienerindexofcertaintriangularnetworks AT muhammadimran onwienerpolarityindexandwienerindexofcertaintriangularnetworks |