The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices
The degree-based topological indices are numerical graph invariants that are used to link a molecule’s structural characteristics to its physical, and chemical characteristics. In the investigation, and study of the structural features of a chemical network, it has emerged as one of the most potent...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2023-12-01
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| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S266133522350003X |
| _version_ | 1797306794149675008 |
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| author | K. J. Gowtham N. Narahari |
| author_facet | K. J. Gowtham N. Narahari |
| author_sort | K. J. Gowtham |
| collection | DOAJ |
| description | The degree-based topological indices are numerical graph invariants that are used to link a molecule’s structural characteristics to its physical, and chemical characteristics. In the investigation, and study of the structural features of a chemical network, it has emerged as one of the most potent mathematical techniques. In this paper, we study the degree-based topological invariants, called K-Banhatti indices, of the line graphs of some rooted product graphs namely, [Formula: see text], [Formula: see text], and ith vertex rooted product graph [Formula: see text] which are derived by the concept of subdivision. |
| first_indexed | 2024-03-08T00:46:58Z |
| format | Article |
| id | doaj.art-5043762743f74c98a99a6f760461189c |
| institution | Directory Open Access Journal |
| issn | 2661-3352 2661-3344 |
| language | English |
| last_indexed | 2024-03-08T00:46:58Z |
| publishDate | 2023-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj.art-5043762743f74c98a99a6f760461189c2024-02-15T05:50:12ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442023-12-01150110.1142/S266133522350003XThe study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indicesK. J. Gowtham0N. Narahari1Department of Mathematics, University College of Science, Tumkur University, Tumakuru, Karnataka 572103, IndiaDepartment of Mathematics, University College of Science, Tumkur University, Tumakuru, Karnataka 572103, IndiaThe degree-based topological indices are numerical graph invariants that are used to link a molecule’s structural characteristics to its physical, and chemical characteristics. In the investigation, and study of the structural features of a chemical network, it has emerged as one of the most potent mathematical techniques. In this paper, we study the degree-based topological invariants, called K-Banhatti indices, of the line graphs of some rooted product graphs namely, [Formula: see text], [Formula: see text], and ith vertex rooted product graph [Formula: see text] which are derived by the concept of subdivision.https://www.worldscientific.com/doi/10.1142/S266133522350003XK-Banhatti indexline graphsubdivision graph |
| spellingShingle | K. J. Gowtham N. Narahari The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices International Journal of Mathematics for Industry K-Banhatti index line graph subdivision graph |
| title | The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices |
| title_full | The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices |
| title_fullStr | The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices |
| title_full_unstemmed | The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices |
| title_short | The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices |
| title_sort | study of line graphs of subdivision graphs of some rooted product graphs via k banhatti indices |
| topic | K-Banhatti index line graph subdivision graph |
| url | https://www.worldscientific.com/doi/10.1142/S266133522350003X |
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