Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices
A topological index (TI) is a numerical descriptor of a molecule structure or graph that predicts its different physical, biological, and chemical properties in a theoretical way avoiding the difficult and costly procedures of chemical labs. In this paper, for two connected (molecular) graphs G1 and...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/7465171 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546003113213952 |
|---|---|
| author | Muhammad Javaid Saira Javed Yasmene F. Alanazi Abdulaziz Mohammed Alanazi |
| author_facet | Muhammad Javaid Saira Javed Yasmene F. Alanazi Abdulaziz Mohammed Alanazi |
| author_sort | Muhammad Javaid |
| collection | DOAJ |
| description | A topological index (TI) is a numerical descriptor of a molecule structure or graph that predicts its different physical, biological, and chemical properties in a theoretical way avoiding the difficult and costly procedures of chemical labs. In this paper, for two connected (molecular) graphs G1 and G2, we define the generalized total-sum graph consisting of various (molecular) polygonal chains by the lexicographic product of the graphs TkG1 and G2, where TkG1 is obtained by applying the generalized total operation Tk on G1 with k≥1 as some integral value. Moreover, we compute the different degree-based TIs such as first Zagreb, second Zagreb, forgotten Zagreb, and hyper-Zagreb. In the end, a comparison among all the aforesaid TIs is also conducted with the help of certain statistical tools for some particular families of generalized total-sum graphs under lexicographic product. |
| format | Article |
| id | doaj-art-9abe7006bc5b4e6cb66502af024d926b |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-9abe7006bc5b4e6cb66502af024d926b2025-02-03T07:24:10ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/7465171Computing Correlation among the Graphs under Lexicographic Product via Zagreb IndicesMuhammad Javaid0Saira Javed1Yasmene F. Alanazi2Abdulaziz Mohammed Alanazi3Department of MathematicsDepartment of MathematicsDepartment of BiochemistryDepartment of MathematicsA topological index (TI) is a numerical descriptor of a molecule structure or graph that predicts its different physical, biological, and chemical properties in a theoretical way avoiding the difficult and costly procedures of chemical labs. In this paper, for two connected (molecular) graphs G1 and G2, we define the generalized total-sum graph consisting of various (molecular) polygonal chains by the lexicographic product of the graphs TkG1 and G2, where TkG1 is obtained by applying the generalized total operation Tk on G1 with k≥1 as some integral value. Moreover, we compute the different degree-based TIs such as first Zagreb, second Zagreb, forgotten Zagreb, and hyper-Zagreb. In the end, a comparison among all the aforesaid TIs is also conducted with the help of certain statistical tools for some particular families of generalized total-sum graphs under lexicographic product.http://dx.doi.org/10.1155/2021/7465171 |
| spellingShingle | Muhammad Javaid Saira Javed Yasmene F. Alanazi Abdulaziz Mohammed Alanazi Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices Journal of Chemistry |
| title | Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices |
| title_full | Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices |
| title_fullStr | Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices |
| title_full_unstemmed | Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices |
| title_short | Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices |
| title_sort | computing correlation among the graphs under lexicographic product via zagreb indices |
| url | http://dx.doi.org/10.1155/2021/7465171 |
| work_keys_str_mv | AT muhammadjavaid computingcorrelationamongthegraphsunderlexicographicproductviazagrebindices AT sairajaved computingcorrelationamongthegraphsunderlexicographicproductviazagrebindices AT yasmenefalanazi computingcorrelationamongthegraphsunderlexicographicproductviazagrebindices AT abdulazizmohammedalanazi computingcorrelationamongthegraphsunderlexicographicproductviazagrebindices |