Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs
The application of graph theory in the study of molecular physical and chemical properties involves theoretical mathematical chemistry. Atoms, represented by vertices, and edges, represented by bonds between them, are detailed in simple graphs called chemical graphs. The mathematical derivation of t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2022/2154288 |
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| author | Iftikhar Ahmad Maqbool Ahmad Chaudhry Tarkan Öner Tariq Mahmood Muhammad Hussain |
| author_facet | Iftikhar Ahmad Maqbool Ahmad Chaudhry Tarkan Öner Tariq Mahmood Muhammad Hussain |
| author_sort | Iftikhar Ahmad |
| collection | DOAJ |
| description | The application of graph theory in the study of molecular physical and chemical properties involves theoretical mathematical chemistry. Atoms, represented by vertices, and edges, represented by bonds between them, are detailed in simple graphs called chemical graphs. The mathematical derivation of the numerical value of a graph is called the molecular descriptor of the graph. Any connected graph wherein no edge is contained in exclusive of a single cycle is called a cactus graph. In the research in this article, expressions for various molecular descriptors of line graph of the graph obtained by the rooted product of the cycle and path graphs are constructed. This article obtained the calculation of molecular descriptors for line graphs of chain ortho cactus and chain para cactus graphs. To predict the biological activity of a compound, the generalized Zagreb index, the first Zagreb index M1G, the second Zagreb index M2G, the F-index, the general Randic index, the symmetric division, the atom bond connectivity (ABC), and the geometric arithmetic (GA) descriptors are created. |
| format | Article |
| id | doaj-art-b530f90700674ae2bd444aa9c7de3dee |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-b530f90700674ae2bd444aa9c7de3dee2025-02-03T07:24:17ZengWileyJournal of Chemistry2090-90712022-01-01202210.1155/2022/2154288Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products GraphsIftikhar Ahmad0Maqbool Ahmad Chaudhry1Tarkan Öner2Tariq Mahmood3Muhammad Hussain4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe application of graph theory in the study of molecular physical and chemical properties involves theoretical mathematical chemistry. Atoms, represented by vertices, and edges, represented by bonds between them, are detailed in simple graphs called chemical graphs. The mathematical derivation of the numerical value of a graph is called the molecular descriptor of the graph. Any connected graph wherein no edge is contained in exclusive of a single cycle is called a cactus graph. In the research in this article, expressions for various molecular descriptors of line graph of the graph obtained by the rooted product of the cycle and path graphs are constructed. This article obtained the calculation of molecular descriptors for line graphs of chain ortho cactus and chain para cactus graphs. To predict the biological activity of a compound, the generalized Zagreb index, the first Zagreb index M1G, the second Zagreb index M2G, the F-index, the general Randic index, the symmetric division, the atom bond connectivity (ABC), and the geometric arithmetic (GA) descriptors are created.http://dx.doi.org/10.1155/2022/2154288 |
| spellingShingle | Iftikhar Ahmad Maqbool Ahmad Chaudhry Tarkan Öner Tariq Mahmood Muhammad Hussain Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs Journal of Chemistry |
| title | Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs |
| title_full | Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs |
| title_fullStr | Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs |
| title_full_unstemmed | Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs |
| title_short | Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs |
| title_sort | molecular descriptors on line graphs of cactus chains and rooted products graphs |
| url | http://dx.doi.org/10.1155/2022/2154288 |
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