Harary and hyper-Wiener indices of some graph operations
Abstract In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Ap...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03112-6 |
| _version_ | 1797258955671470080 |
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| author | S. Balamoorthy T. Kavaskar K. Vinothkumar |
| author_facet | S. Balamoorthy T. Kavaskar K. Vinothkumar |
| author_sort | S. Balamoorthy |
| collection | DOAJ |
| description | Abstract In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based zero-divisor graph of a ring. |
| first_indexed | 2024-04-24T23:01:45Z |
| format | Article |
| id | doaj.art-969a1a6525754f9fb4ac42a5e788d234 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T23:01:45Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-969a1a6525754f9fb4ac42a5e788d2342024-03-17T12:41:52ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-03-012024111710.1186/s13660-024-03112-6Harary and hyper-Wiener indices of some graph operationsS. Balamoorthy0T. Kavaskar1K. Vinothkumar2Department of Mathematics, Central University of Tamil NaduDepartment of Mathematics, Central University of Tamil NaduDepartment of Mathematics, Central University of Tamil NaduAbstract In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based zero-divisor graph of a ring.https://doi.org/10.1186/s13660-024-03112-6Harary indexHyper-Wiener indexH-generalized joinGeneralized corona product |
| spellingShingle | S. Balamoorthy T. Kavaskar K. Vinothkumar Harary and hyper-Wiener indices of some graph operations Journal of Inequalities and Applications Harary index Hyper-Wiener index H-generalized join Generalized corona product |
| title | Harary and hyper-Wiener indices of some graph operations |
| title_full | Harary and hyper-Wiener indices of some graph operations |
| title_fullStr | Harary and hyper-Wiener indices of some graph operations |
| title_full_unstemmed | Harary and hyper-Wiener indices of some graph operations |
| title_short | Harary and hyper-Wiener indices of some graph operations |
| title_sort | harary and hyper wiener indices of some graph operations |
| topic | Harary index Hyper-Wiener index H-generalized join Generalized corona product |
| url | https://doi.org/10.1186/s13660-024-03112-6 |
| work_keys_str_mv | AT sbalamoorthy hararyandhyperwienerindicesofsomegraphoperations AT tkavaskar hararyandhyperwienerindicesofsomegraphoperations AT kvinothkumar hararyandhyperwienerindicesofsomegraphoperations |