On the intersection ideal graph of semigroups

The intersection ideal graph Γ(S) of a semigroup S is simple undirected whose vertices are all nontrivial left ideals and two distinct I, J adjacent if only their nontrivial. In this paper, we investigate the connectedness Γ(S). We show that connected, then diameter at most two. Further, classify semigroups in terms such obtain domination number, independence girth strong metric dimension have also investigated completeness, planarity perfectness completely semigroup, weakly perfect. More over, article, give an upper bound chromatic number Finally, union n minimal ideals, automorphism group