Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 9 1 2024 03 01 Bounds of Sombor index for corona products on $R$-graphs 101 117 14459 10.22049/cco.2022.27904.1391 EN Ishita Sarkar Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India Manjunath Nanjappa School of Engineering and Technology, CHRIST (Deemed to be University), Bengaluru 560074, India Ivan Gutman Faculty of Science, University of Kragujevac, P.O.Box 60, 34000, Kragujevac, Serbia Journal Article 2022 06 28 Operations in the theory of graphs has a substantial influence in the analytical and factual dimensions of the domain. In the realm of chemical graph theory, topological descriptor serves as a comprehensive graph invariant linked with a specific molecular structure. The study on the Sombor index is initiated recently by Ivan Gutman. The triangle parallel graph comprises of the edges of subdivision graph along with the edges of the original graph. In this paper, we make use of combinatorial inequalities related with the vertices, edges and the neighborhood concepts as well as the other topological descriptors in the computations for the determination of bounds of Sombor index for certain corona products involving the triangle parallel graph. https://comb-opt.azaruniv.ac.ir/article_14459_727793a647a12a184e9f264e03c824f5.pdf