%0 Journal Article
%T SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Purohit, Krishna Lalitkumar
%A Parejiya, Jaydeep Harjibhai
%D 2024
%\ 01/01/2024
%V 11
%N 2
%P 93-112
%! SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH
%K G(R)
%K line graph
%K SPIR
%R 10.22044/jas.2022.12098.1628
%X 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.
%U https://jas.shahroodut.ac.ir/article_2733_0d8a6563070e57797521e004c7b8cd4c.pdf