@article { author = {Ramane, Harishchandra and Gutman, Ivan and Bhajantri, Kavita and Kitturmath, Deepa}, title = {Sombor index of some graph transformations}, journal = {Communications in Combinatorics and Optimization}, volume = {8}, number = {1}, pages = {193-205}, year = {2023}, publisher = {Azarbaijan Shahid Madani University}, issn = {2538-2128}, eissn = {2538-2136}, doi = {10.22049/cco.2021.27484.1272}, abstract = {The Sombor index of the graph $G$ is a recently introduced degree based topological index. It is defined as $SO = \sum_{uv \in E(G)} \sqrt{d(u)^2+d(v)^2}$, where $d(u)$ is the degree of the vertex u and $E(G)$ is the edge set of $G$.  In this paper we calculate $SO$ of some graph transformations. }, keywords = {Sombor index,degree (of vertex),Graph Transformation}, url = {http://comb-opt.azaruniv.ac.ir/article_14340.html}, eprint = {http://comb-opt.azaruniv.ac.ir/article_14340_7ace5e93139b6507fbe4366cc8178fdd.pdf} }