The comparative analysis of two molecular indices in random polyphenyl and spiro chains
Zagreb indices are well-known and historical indices that are very useful to calculate the properties of compounds. In the last few years, various kinds of Zagreb and Randic indices are investigated and defined to fulfil the demands of various engineering applications. Phenylenes are a class of conj...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022583?viewType=HTML |
| _version_ | 1798036756939931648 |
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| author | Zahid Raza Juan LG Guirao Ghada Bassioni |
| author_facet | Zahid Raza Juan LG Guirao Ghada Bassioni |
| author_sort | Zahid Raza |
| collection | DOAJ |
| description | Zagreb indices are well-known and historical indices that are very useful to calculate the properties of compounds. In the last few years, various kinds of Zagreb and Randic indices are investigated and defined to fulfil the demands of various engineering applications. Phenylenes are a class of conjugated hydrocarbons composed of a special arrangement of six- and four-membered rings. This special chain, produced by zeroth-order Markov process has been commonly appeared in the field of pharmacology and materials. Here, we compute the expected values of a multiplicative versions of the geometric arithmetic and atomic bond connectivity indices for these special hydrocarbons. Moreover, we make comparisons in the form of explicit formulae and numerical tables between the expected values of these indices in the random polyphenyl $ \mathbb{P}_n $ and spiro $ \mathbb{S}_n $ chains. |
| first_indexed | 2024-04-11T21:17:21Z |
| format | Article |
| id | doaj.art-295f7ff4463441a78411f5f3361eaf9a |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-11T21:17:21Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-295f7ff4463441a78411f5f3361eaf9a2022-12-22T04:02:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-08-011912125001251710.3934/mbe.2022583The comparative analysis of two molecular indices in random polyphenyl and spiro chainsZahid Raza0Juan LG Guirao1Ghada Bassioni 21. Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, UAE2. Departamento de Matematica Aplicada y Estadistica Universidad Politecnica de Cartagena, Hospital de Marina, Murcia 30203, Spain 3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia4. Department of Chemistry, Faculty of Engineering Ain Shams University, Cairo, EgyptZagreb indices are well-known and historical indices that are very useful to calculate the properties of compounds. In the last few years, various kinds of Zagreb and Randic indices are investigated and defined to fulfil the demands of various engineering applications. Phenylenes are a class of conjugated hydrocarbons composed of a special arrangement of six- and four-membered rings. This special chain, produced by zeroth-order Markov process has been commonly appeared in the field of pharmacology and materials. Here, we compute the expected values of a multiplicative versions of the geometric arithmetic and atomic bond connectivity indices for these special hydrocarbons. Moreover, we make comparisons in the form of explicit formulae and numerical tables between the expected values of these indices in the random polyphenyl $ \mathbb{P}_n $ and spiro $ \mathbb{S}_n $ chains.https://www.aimspress.com/article/doi/10.3934/mbe.2022583?viewType=HTMLatomic bond connectivity indexgeometric arithmetic indexexpected valuesrandom polyphenyl chainspiro chainscomparisons |
| spellingShingle | Zahid Raza Juan LG Guirao Ghada Bassioni The comparative analysis of two molecular indices in random polyphenyl and spiro chains Mathematical Biosciences and Engineering atomic bond connectivity index geometric arithmetic index expected values random polyphenyl chain spiro chains comparisons |
| title | The comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| title_full | The comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| title_fullStr | The comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| title_full_unstemmed | The comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| title_short | The comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| title_sort | comparative analysis of two molecular indices in random polyphenyl and spiro chains |
| topic | atomic bond connectivity index geometric arithmetic index expected values random polyphenyl chain spiro chains comparisons |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022583?viewType=HTML |
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