LAUSR

The general sum-connectivity index is a molecular descriptor defined as χα(X)=∑xy∈E(X)(dX(x)+dX(y))α$\chi_{\alpha}(X)=\sum_{xy\in E(X)}(d_{X}(x)+d_{X}(y))^{\alpha}$, where dX(x)$d_{X}(x)$ denotes the degree of a vertex x∈X$x\in X$, and α is a real number. Let X be a graph; then let R(X)$R(X)$ be the graph obtained from X by adding a new vertex xe$x_{e}$ corresponding to each edge of X and joining xe$x_{e}$ to the end vertices of the corresponding edge e∈E(X)$e\in E(X)$. In this paper we obtain the lower and upper bounds for the general sum-connectivity index of four types of graph operations involving R-graph. Additionally, we determine the bounds for the general sum-connectivity index of line graph L(X)$L(X)$ and rooted product of graphs.