Graph of a nearring with respect to an ideal

We introduce a concept called the graph of a nearring N with respect to an ideal I of N denoted by G₁(N) Then we define a new type of symmetry called ideal symmetry of G₁(N). The ideal symmetry of G₁(N) implies the symmetry determined by the automorphism group of G₁(N) We prove that if I is a 3-prime ideal of a zero-symmetric nearring N then G₁(N) is ideal symmetric. Under certain conditions, we find that if G₁(N) is ideal symmetric then I is 3-prime. Finally, we deduce that if N is an equiprime nearring then the prime graph of N is ideal symmetric.