A Note on Revised Szeged Index of Graph Operations
نویسندگان
1 Sirjan University of Technology
doi
10.22052/ijmc.2017.58647.1228چکیده
Let $G$ be a finite and simple graph with edge set $E(G)$. The revised Szeged index is defined as $Sz^{*}(G)=\sum_{e=uv\in E(G)}(n_u(e|G)+\frac{n_{G}(e)}{2})(n_v(e|G)+\frac{n_{G}(e)}{2}),$ where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and $n_{G}(e)$ is the number of equidistant vertices of $e$ in $G$. In this paper, we compute the revised Szeged index of the join and corona product of graphs.