on invariant graph of γ-near-ring

Let u be an invariant subset of finite γ-near-ring m. there are many papers that consider the graph respect to the near-ring and the interplay between algebraic structures and graphs are studied. indeed, it is worthwhile to relate algebraic properties of near-ring to the combinatorics properties of assigned graphs. in this paper the graph with respect to an invariant subset u of γ-near-ring m, denoted by γ α u (m) is introduced and the basic properties of it is investigated. also the relation between the commutativity of m and properties of this graph is presented.