Topological Properties of Degree-Based Invariants via M-Polynomial Approach
Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory. In this work, we give the closed formulas of redefined first and second Zagreb indices...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7120094 |
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| _version_ | 1832564748763267072 |
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| author | Samirah Alsulami Sabir Hussain Farkhanda Afzal Mohammad Reza Farahani Deeba Afzal |
| author_facet | Samirah Alsulami Sabir Hussain Farkhanda Afzal Mohammad Reza Farahani Deeba Afzal |
| author_sort | Samirah Alsulami |
| collection | DOAJ |
| description | Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory. In this work, we give the closed formulas of redefined first and second Zagreb indices, modified first Zagreb index, nano-Zagreb index, second hyper-Zagreb index, Randić index, reciprocal Randić index, first Gourava index, and product connectivity Gourava index via M-polynomial. We also present the M-polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network. |
| format | Article |
| id | doaj-art-4f2a5cd9ada64964a3f3149d470fbeef |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4f2a5cd9ada64964a3f3149d470fbeef2025-02-03T01:10:19ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7120094Topological Properties of Degree-Based Invariants via M-Polynomial ApproachSamirah Alsulami0Sabir Hussain1Farkhanda Afzal2Mohammad Reza Farahani3Deeba Afzal4University of JeddahDepartment of Mathematics and StatisticsDepartment of Humanities and Basic SciencesDepartment of MathematicsDepartment of Mathematics and StatisticsChemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory. In this work, we give the closed formulas of redefined first and second Zagreb indices, modified first Zagreb index, nano-Zagreb index, second hyper-Zagreb index, Randić index, reciprocal Randić index, first Gourava index, and product connectivity Gourava index via M-polynomial. We also present the M-polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network.http://dx.doi.org/10.1155/2022/7120094 |
| spellingShingle | Samirah Alsulami Sabir Hussain Farkhanda Afzal Mohammad Reza Farahani Deeba Afzal Topological Properties of Degree-Based Invariants via M-Polynomial Approach Journal of Mathematics |
| title | Topological Properties of Degree-Based Invariants via M-Polynomial Approach |
| title_full | Topological Properties of Degree-Based Invariants via M-Polynomial Approach |
| title_fullStr | Topological Properties of Degree-Based Invariants via M-Polynomial Approach |
| title_full_unstemmed | Topological Properties of Degree-Based Invariants via M-Polynomial Approach |
| title_short | Topological Properties of Degree-Based Invariants via M-Polynomial Approach |
| title_sort | topological properties of degree based invariants via m polynomial approach |
| url | http://dx.doi.org/10.1155/2022/7120094 |
| work_keys_str_mv | AT samirahalsulami topologicalpropertiesofdegreebasedinvariantsviampolynomialapproach AT sabirhussain topologicalpropertiesofdegreebasedinvariantsviampolynomialapproach AT farkhandaafzal topologicalpropertiesofdegreebasedinvariantsviampolynomialapproach AT mohammadrezafarahani topologicalpropertiesofdegreebasedinvariantsviampolynomialapproach AT deebaafzal topologicalpropertiesofdegreebasedinvariantsviampolynomialapproach |