Connection Number- Based Topological Indices of Cartesian Product of Graphs
The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties. The manipulation and study of chemical graphical details are made feasible by usin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8272936 |
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| _version_ | 1832556662599188480 |
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| author | Aiman Arshad Aqsa Sattar Muhammad Javaid Mamo Abebe Ashebo |
| author_facet | Aiman Arshad Aqsa Sattar Muhammad Javaid Mamo Abebe Ashebo |
| author_sort | Aiman Arshad |
| collection | DOAJ |
| description | The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties. The manipulation and study of chemical graphical details are made feasible by using numerical structure invariant. Investigating these chemical characteristics of topological indices (TIs) is made possible by the discipline of mathematical chemistry. In this article, we study with the Cartesian product of complete graphs, with path graphs, and find their general result of connection number (CN)-based TIs, namely, first connection- based Zagreb index (1st CBZI), second connection- based Zagreb index (2nd CBZI), and third CBZI (3rd CBZI) and then modified first connection- based Zagreb index (CBZI) and second and third modified CBZIs. We also express the general results of first multiplicative CBZI, second multiplicative CBZI, and third and fourth multiplicative CBZI, of two special types of graphs, namely, complete graphs and path graphs. More precisely, we arrange the graphical and numerical analysis of our calculated expressions for both of Cartesian product with each other. |
| format | Article |
| id | doaj-art-31ac0394971749ff9ea2ad94dae006a3 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-31ac0394971749ff9ea2ad94dae006a32025-02-03T05:44:35ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/8272936Connection Number- Based Topological Indices of Cartesian Product of GraphsAiman Arshad0Aqsa Sattar1Muhammad Javaid2Mamo Abebe Ashebo3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties. The manipulation and study of chemical graphical details are made feasible by using numerical structure invariant. Investigating these chemical characteristics of topological indices (TIs) is made possible by the discipline of mathematical chemistry. In this article, we study with the Cartesian product of complete graphs, with path graphs, and find their general result of connection number (CN)-based TIs, namely, first connection- based Zagreb index (1st CBZI), second connection- based Zagreb index (2nd CBZI), and third CBZI (3rd CBZI) and then modified first connection- based Zagreb index (CBZI) and second and third modified CBZIs. We also express the general results of first multiplicative CBZI, second multiplicative CBZI, and third and fourth multiplicative CBZI, of two special types of graphs, namely, complete graphs and path graphs. More precisely, we arrange the graphical and numerical analysis of our calculated expressions for both of Cartesian product with each other.http://dx.doi.org/10.1155/2023/8272936 |
| spellingShingle | Aiman Arshad Aqsa Sattar Muhammad Javaid Mamo Abebe Ashebo Connection Number- Based Topological Indices of Cartesian Product of Graphs Journal of Mathematics |
| title | Connection Number- Based Topological Indices of Cartesian Product of Graphs |
| title_full | Connection Number- Based Topological Indices of Cartesian Product of Graphs |
| title_fullStr | Connection Number- Based Topological Indices of Cartesian Product of Graphs |
| title_full_unstemmed | Connection Number- Based Topological Indices of Cartesian Product of Graphs |
| title_short | Connection Number- Based Topological Indices of Cartesian Product of Graphs |
| title_sort | connection number based topological indices of cartesian product of graphs |
| url | http://dx.doi.org/10.1155/2023/8272936 |
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