ON THE INDICES OF CERTAIN GRAPH PRODUCTS
subject: Lexicographic product; Sombor index; Tensor product
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
creator: Sarkar I.; Nanjappa M.
source: Transactions on Combinatorics, Vol-14, No. 2, pp. 117-134.
publisher: University of Isfahan
date: 2025-01-01
rights: Restricted Access
relation: ISSN: 22518657
format: Online
language: English
type: Article
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