Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between vari...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/7057412 |
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| _version_ | 1849685482305224704 |
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| author | Muhammad Asad Ali Muhammad Shoaib Sardar Imran Siddique Dalal Alrowaili |
| author_facet | Muhammad Asad Ali Muhammad Shoaib Sardar Imran Siddique Dalal Alrowaili |
| author_sort | Muhammad Asad Ali |
| collection | DOAJ |
| description | A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA, atom bond connectivity index ABC, forgotten index F, inverse sum indeg index ISI, general inverse sum indeg index ISIα,β, first multiplicative-Zagreb index PM1 and second multiplicative-Zagreb index PM2, fifth geometric arithmetic index GA5, fourth atom bond connectivity index ABC4 of double graph, and strong double graph of Dutch Windmill graph D3p. |
| format | Article |
| id | doaj-art-bf419e272b1a4c9fbf6ba8b68acfc22b |
| institution | DOAJ |
| issn | 2090-9071 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-bf419e272b1a4c9fbf6ba8b68acfc22b2025-08-20T03:23:07ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/70574127057412Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill GraphMuhammad Asad Ali0Muhammad Shoaib Sardar1Imran Siddique2Dalal Alrowaili3School of MathematicsSchool of MathematicsDepartment of MathematicsMathematics DepartmentA measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA, atom bond connectivity index ABC, forgotten index F, inverse sum indeg index ISI, general inverse sum indeg index ISIα,β, first multiplicative-Zagreb index PM1 and second multiplicative-Zagreb index PM2, fifth geometric arithmetic index GA5, fourth atom bond connectivity index ABC4 of double graph, and strong double graph of Dutch Windmill graph D3p.http://dx.doi.org/10.1155/2021/7057412 |
| spellingShingle | Muhammad Asad Ali Muhammad Shoaib Sardar Imran Siddique Dalal Alrowaili Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph Journal of Chemistry |
| title | Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph |
| title_full | Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph |
| title_fullStr | Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph |
| title_full_unstemmed | Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph |
| title_short | Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph |
| title_sort | vertex based topological indices of double and strong double graph of dutch windmill graph |
| url | http://dx.doi.org/10.1155/2021/7057412 |
| work_keys_str_mv | AT muhammadasadali vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph AT muhammadshoaibsardar vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph AT imransiddique vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph AT dalalalrowaili vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph |