Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars
The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. Mathematical chemistry provides a platform to study these physicochemical properties wi...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2107623 |
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| _version_ | 1832563245295075328 |
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| author | Aqsa Sattar Muhammad Javaid Ebenezer Bonyah |
| author_facet | Aqsa Sattar Muhammad Javaid Ebenezer Bonyah |
| author_sort | Aqsa Sattar |
| collection | DOAJ |
| description | The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. Mathematical chemistry provides a platform to study these physicochemical properties with the help of topological indices (TIs). A topological index (TI) is a function that connects a numeric number to each molecular graph. Zagreb indices (ZIs) are the most studied TIs. In this paper, we establish general expressions to calculate the connection-based multiplicative ZIs, namely, first multiplicative ZIs, second multiplicative ZIs, third multiplicative ZIs, and fourth multiplicative ZIs, of two renowned dendrimer nanostars. The defined expressions just depend on the step of growth of these dendrimers. Moreover, we have compared our calculated for both type of dendrimers with each other. |
| format | Article |
| id | doaj-art-c55786c1d23140819924ad20c72fa732 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c55786c1d23140819924ad20c72fa7322025-02-03T01:20:38ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/2107623Connection-Based Multiplicative Zagreb Indices of Dendrimer NanostarsAqsa Sattar0Muhammad Javaid1Ebenezer Bonyah2Department of MathematicsDepartment of MathematicsDepartment of Mathematics EducationThe field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. Mathematical chemistry provides a platform to study these physicochemical properties with the help of topological indices (TIs). A topological index (TI) is a function that connects a numeric number to each molecular graph. Zagreb indices (ZIs) are the most studied TIs. In this paper, we establish general expressions to calculate the connection-based multiplicative ZIs, namely, first multiplicative ZIs, second multiplicative ZIs, third multiplicative ZIs, and fourth multiplicative ZIs, of two renowned dendrimer nanostars. The defined expressions just depend on the step of growth of these dendrimers. Moreover, we have compared our calculated for both type of dendrimers with each other.http://dx.doi.org/10.1155/2021/2107623 |
| spellingShingle | Aqsa Sattar Muhammad Javaid Ebenezer Bonyah Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars Journal of Mathematics |
| title | Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars |
| title_full | Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars |
| title_fullStr | Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars |
| title_full_unstemmed | Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars |
| title_short | Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars |
| title_sort | connection based multiplicative zagreb indices of dendrimer nanostars |
| url | http://dx.doi.org/10.1155/2021/2107623 |
| work_keys_str_mv | AT aqsasattar connectionbasedmultiplicativezagrebindicesofdendrimernanostars AT muhammadjavaid connectionbasedmultiplicativezagrebindicesofdendrimernanostars AT ebenezerbonyah connectionbasedmultiplicativezagrebindicesofdendrimernanostars |