ON THE INDICES OF CERTAIN GRAPH PRODUCTS
- Title
- ON THE INDICES OF CERTAIN GRAPH PRODUCTS
- Creator
- Sarkar I.; Nanjappa M.
- Description
- Molecular descriptors are numerical graph invariants that are used to study the chemical structure of molecules. In this paper, we determine the upper bound of the Sombor index based on four operations involving the subdivision graph, semi-total point graph, semi-total line graph, and total graph related to the lexicographic and tensor product. The exact expressions of the first reformulated Zagreb index and the second hyper-Zagreb index of the tensor product are formulated on the basis of the four significant graphs. Further, the descriptors for certain standard graphs are obtained and the graphical comparison for the first reformulated Zagreb index has also been illustrated to understand the result better. 2025 University of Isfahan
- Source
- Transactions on Combinatorics, Vol-14, No. 2, pp. 117-134.
- Date
- 2025-01-01
- Publisher
- University of Isfahan
- Subject
- Lexicographic product; Sombor index; Tensor product
- Coverage
- Sarkar I., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Nanjappa M., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India
- Rights
- Restricted Access
- Relation
- ISSN: 22518657
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Sarkar I.; Nanjappa M., “ON THE INDICES OF CERTAIN GRAPH PRODUCTS,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/12589.