a graphical difference between the inverse and regular semigroups

in this paper we investigate the green‎ ‎graphs for the regular and inverse semigroups by considering the‎ ‎green classes of them‎. ‎and by using the properties of these‎ ‎semigroups‎, ‎we prove that all of the five green graphs for the‎ ‎inverse semigroups are isomorphic complete graphs‎, ‎while this‎ ‎doesn't hold for the regular semigroups‎. ‎in other words‎, ‎we prove‎ ‎that in a regular semigroup $s$ two green graph‎ ‎$gamma_{mathcal{l}}(s)$ and $gamma_{mathcal{h}}(s)$ are‎ ‎isomorphic‎, ‎however‎, ‎the other three green graphs are‎ ‎non-isomorphic to them‎.