A N‎ote on Revised Szeged ‎Index of ‎Graph ‎Operations

نویسندگان

1 Sirjan University of Technology

doi
10.22052/ijmc.2017.58647.1228
چکیده

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.