Computing FGZ Index of Sum Graphs under Strong Product
Topological index (TI) is a function that assigns a numeric value to a (molecular) graph that predicts its various physical and structural properties. In this paper, we study the sum graphs (S-sum, R-sum, Q-sum and T-sum) using the subdivision related operations and strong product of graphs which cr...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6654228 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547035873542144 |
|---|---|
| author | Zhi-Ba Peng Saira Javed Muhammad Javaid Jia-Bao Liu |
| author_facet | Zhi-Ba Peng Saira Javed Muhammad Javaid Jia-Bao Liu |
| author_sort | Zhi-Ba Peng |
| collection | DOAJ |
| description | Topological index (TI) is a function that assigns a numeric value to a (molecular) graph that predicts its various physical and structural properties. In this paper, we study the sum graphs (S-sum, R-sum, Q-sum and T-sum) using the subdivision related operations and strong product of graphs which create hexagonal chains isomorphic to many chemical compounds. Mainly, the exact values of first general Zagreb index (FGZI) for four sum graphs are obtained. At the end, FGZI of the two particular families of sum graphs are also computed as applications of the main results. Moreover, the dominating role of the FGZI among these sum graphs is also shown using the numerical values and their graphical presentations. |
| format | Article |
| id | doaj-art-bd25e1c6a377496da269145eb77f70f1 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bd25e1c6a377496da269145eb77f70f12025-02-03T06:46:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66542286654228Computing FGZ Index of Sum Graphs under Strong ProductZhi-Ba Peng0Saira Javed1Muhammad Javaid2Jia-Bao Liu3School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaTopological index (TI) is a function that assigns a numeric value to a (molecular) graph that predicts its various physical and structural properties. In this paper, we study the sum graphs (S-sum, R-sum, Q-sum and T-sum) using the subdivision related operations and strong product of graphs which create hexagonal chains isomorphic to many chemical compounds. Mainly, the exact values of first general Zagreb index (FGZI) for four sum graphs are obtained. At the end, FGZI of the two particular families of sum graphs are also computed as applications of the main results. Moreover, the dominating role of the FGZI among these sum graphs is also shown using the numerical values and their graphical presentations.http://dx.doi.org/10.1155/2021/6654228 |
| spellingShingle | Zhi-Ba Peng Saira Javed Muhammad Javaid Jia-Bao Liu Computing FGZ Index of Sum Graphs under Strong Product Journal of Mathematics |
| title | Computing FGZ Index of Sum Graphs under Strong Product |
| title_full | Computing FGZ Index of Sum Graphs under Strong Product |
| title_fullStr | Computing FGZ Index of Sum Graphs under Strong Product |
| title_full_unstemmed | Computing FGZ Index of Sum Graphs under Strong Product |
| title_short | Computing FGZ Index of Sum Graphs under Strong Product |
| title_sort | computing fgz index of sum graphs under strong product |
| url | http://dx.doi.org/10.1155/2021/6654228 |
| work_keys_str_mv | AT zhibapeng computingfgzindexofsumgraphsunderstrongproduct AT sairajaved computingfgzindexofsumgraphsunderstrongproduct AT muhammadjavaid computingfgzindexofsumgraphsunderstrongproduct AT jiabaoliu computingfgzindexofsumgraphsunderstrongproduct |