Some Results Of Two-sided Group Graphs

‎In this paper‎, ‎we study a family of graphs that can be considered the generalization of Cayley graphs and digraphs‎. ‎For non-empty subsets $L‎, ‎R$ of group $G$‎, ‎two-sided group digraph $ \overrightarrow {2S} (G;L,R) $ has been defined as a digraph having the vertex set $G$‎, ‎and an arc from $x$ to $y$ if and only if $y = {l^{‎ - ‎1}}xr$ for $ some $l \in L$ and $r \in R