University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 9 1 2018 03 01 A N‎ote on Revised Szeged ‎Index of ‎Graph ‎Operations 57 63 55333 10.22052/ijmc.2017.58647.1228 EN N. Dehgardi Sirjan University of Technology Journal Article 2016 07 30 Let $G$ be a finite and simple graph with edge set $E(G)$‎. ‎The revised Szeged index is defined as‎<br /> ‎$Sz^{*}(G)=\sum_{e=uv\in E(G)}(n_u(e|G)+\frac{n_{G}(e)}{2})(n_v(e|G)+\frac{n_{G}(e)}{2}),$‎<br /> ‎where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and‎ <br /> ‎$n_{G}(e)$ is the number of‎<br /> ‎equidistant vertices of $e$ in $G$‎. <br /> ‎In this paper‎, ‎we compute the revised Szeged index of the‎<br /> ‎join and corona product of graphs‎. https://ijmc.kashanu.ac.ir/article_55333_c6c9bd64629c680d2b0b41431ef49496.pdf