Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs
Nanostar dendrimers are tree-like nanostructures with a well-defined, symmetrical architecture. They are built in a step-by-step, controlled synthesis process, with each layer or generation building on the previous one. Dendrimers are made up of a central core, a series of repeating units or branche...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/9941949 |
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| author | Syed Ahtsham Ul Haq Bokhary Pakeeza Bashir Allah Nawaz Shreefa O. Hilali Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah |
| author_facet | Syed Ahtsham Ul Haq Bokhary Pakeeza Bashir Allah Nawaz Shreefa O. Hilali Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah |
| author_sort | Syed Ahtsham Ul Haq Bokhary |
| collection | DOAJ |
| description | Nanostar dendrimers are tree-like nanostructures with a well-defined, symmetrical architecture. They are built in a step-by-step, controlled synthesis process, with each layer or generation building on the previous one. Dendrimers are made up of a central core, a series of repeating units or branches, and a surface group shell. A weighted graph is a type of graph in which vertices or edges are assigned weights that represent cost, distance, and a variety of other relative measuring units. The weighted graphs have many applications and properties in a mathematical context. The topological indices are numerical values that represent the symmetry of a molecular structure. They have rich applications in theoretical chemistry. Various topological indices can be used to investigate a wide range of properties of chemical compounds with a molecular structure. They are very important in mathematical chemistry, especially in quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR) studies. In this paper, we examine the topological properties of the molecular graphs of nanostar dendrimers. For this purpose, the topological indices, namely, the Wiener index and the Wiener polarity index are computed for a class of nanostar dendrimers. |
| format | Article |
| id | doaj-art-10f3c6dee53c4faebca79d0fc6627384 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-10f3c6dee53c4faebca79d0fc66273842025-08-20T02:02:20ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/9941949Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted GraphsSyed Ahtsham Ul Haq Bokhary0Pakeeza Bashir1Allah Nawaz2Shreefa O. Hilali3Mohammed Alhagyan4Ameni Gargouri5Mohammed M. A. Almazah6Centre for Advanced Studies in Pure and Applied MathematicsCentre for Advanced Studies in Pure and Applied MathematicsCentre for Advanced Studies in Pure and Applied MathematicsDepartment of MathematicsMathematics DepartmentMathematics DepartmentDepartment of MathematicsNanostar dendrimers are tree-like nanostructures with a well-defined, symmetrical architecture. They are built in a step-by-step, controlled synthesis process, with each layer or generation building on the previous one. Dendrimers are made up of a central core, a series of repeating units or branches, and a surface group shell. A weighted graph is a type of graph in which vertices or edges are assigned weights that represent cost, distance, and a variety of other relative measuring units. The weighted graphs have many applications and properties in a mathematical context. The topological indices are numerical values that represent the symmetry of a molecular structure. They have rich applications in theoretical chemistry. Various topological indices can be used to investigate a wide range of properties of chemical compounds with a molecular structure. They are very important in mathematical chemistry, especially in quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR) studies. In this paper, we examine the topological properties of the molecular graphs of nanostar dendrimers. For this purpose, the topological indices, namely, the Wiener index and the Wiener polarity index are computed for a class of nanostar dendrimers.http://dx.doi.org/10.1155/2024/9941949 |
| spellingShingle | Syed Ahtsham Ul Haq Bokhary Pakeeza Bashir Allah Nawaz Shreefa O. Hilali Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs Journal of Mathematics |
| title | Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs |
| title_full | Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs |
| title_fullStr | Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs |
| title_full_unstemmed | Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs |
| title_short | Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs |
| title_sort | computation of wiener and wiener polarity indices of a class of nanostar dendrimer using vertex weighted graphs |
| url | http://dx.doi.org/10.1155/2024/9941949 |
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