Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs
Graph theory (GT) is a mathematical field that involves the study of graphs or diagrams that contain points and lines to represent the representation of mathematical truth in a diagrammatic format. From simple graphs, complex network architectures can be built using graph operations. Topological ind...
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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 Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8975497 |
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| author | Nasir Ali Zaeema Kousar Maimoona Safdar Fikadu Tesgara Tolasa Enoch Suleiman |
| author_facet | Nasir Ali Zaeema Kousar Maimoona Safdar Fikadu Tesgara Tolasa Enoch Suleiman |
| author_sort | Nasir Ali |
| collection | DOAJ |
| description | Graph theory (GT) is a mathematical field that involves the study of graphs or diagrams that contain points and lines to represent the representation of mathematical truth in a diagrammatic format. From simple graphs, complex network architectures can be built using graph operations. Topological indices (TI) are graph invariants that correlate the physicochemical and interesting properties of different graphs. TI deal with many properties of molecular structure as well. It is important to compute the TI of complex structures. The corona product (CP) of two graphs G and H gives us a new graph obtained by taking one copy of G and VG copies of H and joining the ith vertex of G to every vertex in the ith copy of H. In this paper, based on various CP graphs composed of paths, cycles, and complete graphs, the geometric index (GA) and atom bond connectivity (ABC) index are investigated. Particularly, we discussed the corona products Ps⨀Pt, Ct⨀Cs, Kt⊙Ks, Kt⊙Ps, and Ps⊙Kt and GA and ABC index. Moreover, a few molecular graphs and physicochemical features may be predicted by considering relevant mathematical findings supported by proofs. |
| format | Article |
| id | doaj-art-b5f5073a8b9e43efa59f6d108410d721 |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b5f5073a8b9e43efa59f6d108410d7212025-08-20T02:23:20ZengWileyJournal of Applied Mathematics1687-00422023-01-01202310.1155/2023/8975497Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product GraphsNasir Ali0Zaeema Kousar1Maimoona Safdar2Fikadu Tesgara Tolasa3Enoch Suleiman4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDambi Dollo UniversityDepartment of MathematicsGraph theory (GT) is a mathematical field that involves the study of graphs or diagrams that contain points and lines to represent the representation of mathematical truth in a diagrammatic format. From simple graphs, complex network architectures can be built using graph operations. Topological indices (TI) are graph invariants that correlate the physicochemical and interesting properties of different graphs. TI deal with many properties of molecular structure as well. It is important to compute the TI of complex structures. The corona product (CP) of two graphs G and H gives us a new graph obtained by taking one copy of G and VG copies of H and joining the ith vertex of G to every vertex in the ith copy of H. In this paper, based on various CP graphs composed of paths, cycles, and complete graphs, the geometric index (GA) and atom bond connectivity (ABC) index are investigated. Particularly, we discussed the corona products Ps⨀Pt, Ct⨀Cs, Kt⊙Ks, Kt⊙Ps, and Ps⊙Kt and GA and ABC index. Moreover, a few molecular graphs and physicochemical features may be predicted by considering relevant mathematical findings supported by proofs.http://dx.doi.org/10.1155/2023/8975497 |
| spellingShingle | Nasir Ali Zaeema Kousar Maimoona Safdar Fikadu Tesgara Tolasa Enoch Suleiman Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs Journal of Applied Mathematics |
| title | Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs |
| title_full | Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs |
| title_fullStr | Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs |
| title_full_unstemmed | Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs |
| title_short | Mapping Connectivity Patterns: Degree-Based Topological Indices of Corona Product Graphs |
| title_sort | mapping connectivity patterns degree based topological indices of corona product graphs |
| url | http://dx.doi.org/10.1155/2023/8975497 |
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