TY - JOUR ID - 2733 TI - SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Purohit, Krishna Lalitkumar AU - Parejiya, Jaydeep Harjibhai AD - Department of Applied Sciences, RK University, P.O. Box 360003, Rajkot, India. AD - Department of Mathematics, Government Polytechnic, P.O. Box 360003, Rajkot, India. Y1 - 2024 PY - 2024 VL - 11 IS - 2 SP - 93 EP - 112 KW - G(R) KW - line graph KW - SPIR DO - 10.22044/jas.2022.12098.1628 N2 - Let 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. UR - https://jas.shahroodut.ac.ir/article_2733.html L1 - https://jas.shahroodut.ac.ir/article_2733_0d8a6563070e57797521e004c7b8cd4c.pdf ER -