On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model
Abstract The porphyrazine structure, known for its high chemical and thermal stability, has become a significant focus in materials science, chemical reactivity, functionalization, and drug design. By utilizing the new Zagreb-type indices to analyze the chemical structure of porphyrazine, we can gat...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-11-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-78045-7 |
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| author | Asma Khalid Shoaib Iqbal Muhammad Kamran Siddiqui Tariq Javed Zia Brima Gegbe |
| author_facet | Asma Khalid Shoaib Iqbal Muhammad Kamran Siddiqui Tariq Javed Zia Brima Gegbe |
| author_sort | Asma Khalid |
| collection | DOAJ |
| description | Abstract The porphyrazine structure, known for its high chemical and thermal stability, has become a significant focus in materials science, chemical reactivity, functionalization, and drug design. By utilizing the new Zagreb-type indices to analyze the chemical structure of porphyrazine, we can gather more information about their bonding and connecting patterns. This enables us to construct an entropy measure that helps evaluate the stability of the material and predict its behavior in different scenarios. Furthermore, establishing correlations between these indices and entropy using logarithmic regression models allows for a deeper understanding of complex properties of porphyrazine. This, in turn, opens up new possibilities for the compound’s potential applications across various scientific and technical fields. In our work, we have used the M-polynomial to derive molecular descriptors for degree-based topological indices and determine the entropy of the porphyrazine structure based on these descriptors. |
| format | Article |
| id | doaj-art-52d83e6c90c04a63ae379f1bab065002 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-52d83e6c90c04a63ae379f1bab0650022025-01-26T12:34:50ZengNature PortfolioScientific Reports2045-23222024-11-0114112110.1038/s41598-024-78045-7On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression modelAsma Khalid0Shoaib Iqbal1Muhammad Kamran Siddiqui2Tariq Javed Zia3Brima Gegbe4Department of Mathematics, Air University IslamabadDepartment of Mathematics, Air University IslamabadDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics and Statistics, Njala UniversityAbstract The porphyrazine structure, known for its high chemical and thermal stability, has become a significant focus in materials science, chemical reactivity, functionalization, and drug design. By utilizing the new Zagreb-type indices to analyze the chemical structure of porphyrazine, we can gather more information about their bonding and connecting patterns. This enables us to construct an entropy measure that helps evaluate the stability of the material and predict its behavior in different scenarios. Furthermore, establishing correlations between these indices and entropy using logarithmic regression models allows for a deeper understanding of complex properties of porphyrazine. This, in turn, opens up new possibilities for the compound’s potential applications across various scientific and technical fields. In our work, we have used the M-polynomial to derive molecular descriptors for degree-based topological indices and determine the entropy of the porphyrazine structure based on these descriptors.https://doi.org/10.1038/s41598-024-78045-7Regression analysisLogarithmic regressionM-polynomialPorphyrazine structureTopological indicesGraph entropy |
| spellingShingle | Asma Khalid Shoaib Iqbal Muhammad Kamran Siddiqui Tariq Javed Zia Brima Gegbe On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model Scientific Reports Regression analysis Logarithmic regression M-polynomial Porphyrazine structure Topological indices Graph entropy |
| title | On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| title_full | On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| title_fullStr | On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| title_full_unstemmed | On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| title_short | On physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| title_sort | on physical analysis of topological indices and entropy measures for porphyrazine structure using logarithmic regression model |
| topic | Regression analysis Logarithmic regression M-polynomial Porphyrazine structure Topological indices Graph entropy |
| url | https://doi.org/10.1038/s41598-024-78045-7 |
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