Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network
The Zagreb connection indices are the known topological descriptors of the graphs that are constructed from the connection cardinality (degree of given nodes lying at a distance 2) presented in 1972 to determine the total electron energy of the alternate hydrocarbons. For a long time, these connecti...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-01-01
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| Series: | Frontiers in Chemistry |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fchem.2022.1067874/full |
| _version_ | 1797961492740440064 |
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| author | Zahid Raza Shehnaz Akhter Yilun Shang |
| author_facet | Zahid Raza Shehnaz Akhter Yilun Shang |
| author_sort | Zahid Raza |
| collection | DOAJ |
| description | The Zagreb connection indices are the known topological descriptors of the graphs that are constructed from the connection cardinality (degree of given nodes lying at a distance 2) presented in 1972 to determine the total electron energy of the alternate hydrocarbons. For a long time, these connection indices did not receive much research attention. Ali and Trinajstić [Mol. Inform. 37, Art. No. 1800008, 2018] examined the Zagreb connection indices and found that they compared to basic Zagreb indices and that they provide a finer value for the correlation coefficient for the 13 physico-chemical characteristics of the octane isomers. This article acquires the formulae of expected values of the first Zagreb connection index of a random cyclooctatetraene chain, a random polyphenyls chain, and a random chain network with l number of octagons, hexagons, and pentagons, respectively. The article presents extreme and average values of all the above random chains concerning a set of special chains, including the meta-chain, the ortho-chain, and the para-chain. |
| first_indexed | 2024-04-11T01:00:01Z |
| format | Article |
| id | doaj.art-9e6141eecbdc487383d6c897d70b58d4 |
| institution | Directory Open Access Journal |
| issn | 2296-2646 |
| language | English |
| last_indexed | 2024-04-11T01:00:01Z |
| publishDate | 2023-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Chemistry |
| spelling | doaj.art-9e6141eecbdc487383d6c897d70b58d42023-01-04T18:30:39ZengFrontiers Media S.A.Frontiers in Chemistry2296-26462023-01-011010.3389/fchem.2022.10678741067874Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain networkZahid Raza0Shehnaz Akhter1Yilun Shang2Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab EmiratesSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, PakistanDepartment of Computer and Information Sciences, Northumbria University, Newcastle upon Tyne, United KingdomThe Zagreb connection indices are the known topological descriptors of the graphs that are constructed from the connection cardinality (degree of given nodes lying at a distance 2) presented in 1972 to determine the total electron energy of the alternate hydrocarbons. For a long time, these connection indices did not receive much research attention. Ali and Trinajstić [Mol. Inform. 37, Art. No. 1800008, 2018] examined the Zagreb connection indices and found that they compared to basic Zagreb indices and that they provide a finer value for the correlation coefficient for the 13 physico-chemical characteristics of the octane isomers. This article acquires the formulae of expected values of the first Zagreb connection index of a random cyclooctatetraene chain, a random polyphenyls chain, and a random chain network with l number of octagons, hexagons, and pentagons, respectively. The article presents extreme and average values of all the above random chains concerning a set of special chains, including the meta-chain, the ortho-chain, and the para-chain.https://www.frontiersin.org/articles/10.3389/fchem.2022.1067874/fullaverage valueexpected valuerandom cyclooctatetraene chainrandom polyphenyls chainzagreb connection indices |
| spellingShingle | Zahid Raza Shehnaz Akhter Yilun Shang Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network Frontiers in Chemistry average value expected value random cyclooctatetraene chain random polyphenyls chain zagreb connection indices |
| title | Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network |
| title_full | Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network |
| title_fullStr | Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network |
| title_full_unstemmed | Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network |
| title_short | Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network |
| title_sort | expected value of first zagreb connection index in random cyclooctatetraene chain random polyphenyls chain and random chain network |
| topic | average value expected value random cyclooctatetraene chain random polyphenyls chain zagreb connection indices |
| url | https://www.frontiersin.org/articles/10.3389/fchem.2022.1067874/full |
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