Some Topological Invariants of Graphs Associated with the Group of Symmetries
A topological index is a quantity that is somehow calculated from a graph (molecular structure), which reflects relevant structural features of the underlying molecule. It is, in fact, a numerical value associated with the chemical constitution for the correlation of chemical structures with various...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2020/6289518 |
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| author | Chang-Cheng Wei Muhammad Salman Usman Ali Masood Ur Rehman Muhammad Aqeel Ahmad Khan Muhammad Hasanain Chaudary Farooq Ahmad |
| author_facet | Chang-Cheng Wei Muhammad Salman Usman Ali Masood Ur Rehman Muhammad Aqeel Ahmad Khan Muhammad Hasanain Chaudary Farooq Ahmad |
| author_sort | Chang-Cheng Wei |
| collection | DOAJ |
| description | A topological index is a quantity that is somehow calculated from a graph (molecular structure), which reflects relevant structural features of the underlying molecule. It is, in fact, a numerical value associated with the chemical constitution for the correlation of chemical structures with various physical properties, chemical reactivity, or biological activity. A large number of properties like physicochemical properties, thermodynamic properties, chemical activity, and biological activity can be determined with the help of various topological indices such as atom-bond connectivity indices, Randić index, and geometric arithmetic indices. In this paper, we investigate topological properties of two graphs (commuting and noncommuting) associated with an algebraic structure by determining their Randić index, geometric arithmetic indices, atomic bond connectivity indices, harmonic index, Wiener index, reciprocal complementary Wiener index, Schultz molecular topological index, and Harary index. |
| format | Article |
| id | doaj-art-51e104c14445442f89f16b41ec8ee8b3 |
| institution | OA Journals |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-51e104c14445442f89f16b41ec8ee8b32025-08-20T02:05:42ZengWileyJournal of Chemistry2090-90632090-90712020-01-01202010.1155/2020/62895186289518Some Topological Invariants of Graphs Associated with the Group of SymmetriesChang-Cheng Wei0Muhammad Salman1Usman Ali2Masood Ur Rehman3Muhammad Aqeel Ahmad Khan4Muhammad Hasanain Chaudary5Farooq Ahmad6Department of Mathematics and Computer Science, Anhui TongLing University, Tongling 244061, ChinaDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, PakistanCentre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakaryia University, Multan, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanDepartment of Computer Science, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanDepartment of Computer Science, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanA topological index is a quantity that is somehow calculated from a graph (molecular structure), which reflects relevant structural features of the underlying molecule. It is, in fact, a numerical value associated with the chemical constitution for the correlation of chemical structures with various physical properties, chemical reactivity, or biological activity. A large number of properties like physicochemical properties, thermodynamic properties, chemical activity, and biological activity can be determined with the help of various topological indices such as atom-bond connectivity indices, Randić index, and geometric arithmetic indices. In this paper, we investigate topological properties of two graphs (commuting and noncommuting) associated with an algebraic structure by determining their Randić index, geometric arithmetic indices, atomic bond connectivity indices, harmonic index, Wiener index, reciprocal complementary Wiener index, Schultz molecular topological index, and Harary index.http://dx.doi.org/10.1155/2020/6289518 |
| spellingShingle | Chang-Cheng Wei Muhammad Salman Usman Ali Masood Ur Rehman Muhammad Aqeel Ahmad Khan Muhammad Hasanain Chaudary Farooq Ahmad Some Topological Invariants of Graphs Associated with the Group of Symmetries Journal of Chemistry |
| title | Some Topological Invariants of Graphs Associated with the Group of Symmetries |
| title_full | Some Topological Invariants of Graphs Associated with the Group of Symmetries |
| title_fullStr | Some Topological Invariants of Graphs Associated with the Group of Symmetries |
| title_full_unstemmed | Some Topological Invariants of Graphs Associated with the Group of Symmetries |
| title_short | Some Topological Invariants of Graphs Associated with the Group of Symmetries |
| title_sort | some topological invariants of graphs associated with the group of symmetries |
| url | http://dx.doi.org/10.1155/2020/6289518 |
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