Shahrood University of TechnologyJournal of Algebraic Systems2345-512811220240101SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH93112273310.22044/jas.2022.12098.1628ENKrishna LalitkumarPurohitDepartment of Applied Sciences, RK University, P.O. Box 360003, Rajkot, India.Jaydeep HarjibhaiParejiyaDepartment of Mathematics, Government Polytechnic, P.O. Box 360003, Rajkot,
India.Journal Article20220716Let R be a commutative ring with identity 1≠0. The comaximal ideal graph of R is the simple, undirected graph whose vertex set is the set of all proper ideals of the ring R not contained in Jacobson radical of R and two vertices I and J are adjacent in this graph if and only if I+J=R. In this article, we have discussed the graph G(R) whose vertex set is the set of all proper ideals of ring R and two vertices I and J are adjacent in this graph if and only if I+J≠R. In this article, we have discussed some interesting results about G(R) and its line graph.https://jas.shahroodut.ac.ir/article_2733_0d8a6563070e57797521e004c7b8cd4c.pdf